hurt has 20 distinct synonyms spread across 13 of its 14 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
give trouble or pain to
“This exercise will hurt your back”
any physical damage to the body caused by violence or accident or fracture etc.
the act of damaging something or someone
Synonyms, antonyms and the broader and narrower relations for hurt come from Princeton University’s WordNet. Full sources and licences.