Using the model of single-domain particles, a theoretical analysis of the properties of different forms of piezoremanent magnetization is carried out. The relationships which determine piezoremanent magnetization within the entire range of stresses are obtained. Two mechanisms of magnetization are revealed. It is shown that in the weak field approximation the magnetization of the first type has a quadratic dependence on the magnetic field and weakly depends on stresses, while another type of magnetization, which mainly determines the piezomagnetic effect, is proportional to the field and stresses. Moreover the magnetization that forms in the course of a change in stresses parallel to the field is always higher than the magnetization that appears as a result of action perpendicular to the field.