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Hyperbranched polyphosphates (HBPPs) are newly emerged polymeric biomaterials with repeating phosphate bonds in a highly branched framework.Due to the integration of the advantages of both hyperbranched polymers and polyphosphates,HBPPs are versatile in chemical structure,flexible in physicochemical properties,water soluble,biocompatible and biodegradable in biological features.On the basis of their excellent water solubility,biocompatibility,biodegradability and potential functionalization as well as their simple preparation in one-pot synthesis,HBPPs have fascinating biomedical applications,especially for drug delivery.In this tutorial review,the recent advances of HBPPs are summarized.HBPPs with different topological structures and various functionalities were synthesized via adjusting the side group of cyclic phosphate monomers,which have shown promising biomedical applications,for example,using as a macromolecular anticancer agent and constructing advanced drug delivery systems,including site-specific delivery systems,self-delivery systems,and stimuli-responsive delivery systems.Such progress may promote the further development of interdisciplinary research between polymer chemistry,material science and biomedicine.