We show that high-temperature expansion of the partition function is a computationally convenient tool to interpretation of magnetic properties of spin clusters wherein the spin centers are interacting via an isotropic Heisenberg exchange operator. High-temperature expansions up to order 12 are used to reproduce temperature dependent magnetic susceptibilities of a Cr(iii) tetramer, a decanuclear Fe(iii) wheel, a 3x3 grid arrangement of nine Mn(ii) ions, and a dodecanuclear Ni(ii) wheel. Excellent agreement with experiments as well as with results from computationally more elaborate methods is achieved.