We show a general approach for detecting genuine multipartite entanglement(GME) and partial inseparability in many-body-systems by means of macroscopicobservables (such as the energy) only. We show that the obtained criteria, the"GME gap" and "the k-entanglement gap", detect large areas of genuinemultipartite entanglement and partial entanglement in typical many body states,which are not detected by other criteria. As genuine multipartite entanglementis a necessary property for several quantum information theoretic applicationssuch as e.g. secret sharing or certain kinds of quantum computation, ourmethods can be used to select or design appropriate condensed matter systems.
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