We propose a novel method of computing the anisotropic magnetic susceptibility of multipolar hard spherical colloids in nematics of different symmetries, driven by a particular external field. The colloid is low structured with pure and axial multipole moments. Our results express the anisotropic magnetic susceptibility as the function of an appropriate order parameter. The choice of each order parameter is suggested by using the Landau-de Gennes theory. Equilibrium is provided by the Smoluchowski equation. Each order parameter describes nematics for each multipole and the consequently anisotropic magnetic susceptibility. Magnetization reversal is also described in a generalized sense for multipole moments. (C) 2012 Elsevier B. V. All rights reserved.