We report a detailed spectroscopic investigation of the chiral molecule bromochlorofluoromethane (CHBrClF) with rotational resolution using a pulsed nozzle beam Fourier transform microwave (FTMW) and a waveguide FTMW spectrometer as well as a supersonic jet interferometric Fourier transform infrared (FTMW) and infrared diode laser spectrometer. The rotational spectrum of CHBrClF has been measured between 8 and 18 GHz. The quadrupole hyperfine components have been fully resolved for the as-signed rotational transitions with J less than or equal to 18. Three ground slate relational constants, five centrifugal distortion constants, and all five independent elements of the bromine and chlorine quadrupole coupling tensors have been determined for each of the four isotopomers (CHBrCIF)-Br-79-C-35, (CHBrCIF)-Br-81-C-35, (CHBrCIF)-Br-79-C-37, and (CHBrCIF)-Br-81-C-37 from about 500 measured transition frequencies of the hyperfine components. The quadrupole coupling tensor has been transformed to its principal axes. The determinable sign combinations of the off-diagonal elements of the coupling tensor have been evaluated. Rotational transitions involving high J were measured by FTIR spectroscopy between 15 and 40 cm(-1) (450-1200 GHz) using a light pipe cell, providing an estimate of the permanent dipole moment mu=(1.5+/-0.3) D from intensities. In the midinfrared, we have fully analyzed the rovibrational line structure of supersonic jet spectra of the CF-stretching fundamental nu(4), giving band centers for the isotopomers (CHBrCIF)-Br-79-C-35 [<(nu)over tilde(4)(0)>=1077.178 43(4) cm(-1)], (CHBrCIF)-Br-81-C-35 [<(nu)over tilde(4)(0)>=1077.133 06(4) cm(-1)], (CHBrCIF)-Br-79-C-37 [<(nu)over tilde(4)(0)>=1076.7914(4) cm(-1)], and (CHBrCIF)-Br-81-C-37 [<(nu)over tilde(4)(0)>=1076.730 26(5) cm(-1)]. A combined analysis of about 20 microwave frequencies, more than 100 infrared ground state combination differences, and about 70 infrared transition frequencies for each of the Cl-35 isotopomers finally provide accurate ground and excited state rotational parameters as well as structural parameters, which may be compared to nb initio calculations. The results are discussed in relation to the molecular structure as well as coincidences of nu(4) absorptions with CO2 laser lines in view of CO2-laser pumping and possible spectroscopic studies of this chiral molecule at ultrahigh resolution.