What word would work for someone who likes to be hurt by other people? Physically, like it may even be a turn on.
You call that someone a masochist.
a person who has masochism, the condition in which sexual or other gratification depends on one's suffering physical pain or humiliation.
a person who is gratified by pain, degradation, etc., that is self-imposed or imposed by others.
I think you are referring to masochism:
- gratification gained from pain, deprivation, degradation, etc., inflicted or imposed on oneself, either as a result of one's own actions or the actions of others, especially the tendency to seek this form of gratification.
- "sexual pleasure in being hurt or abused," 1892, from German Masochismus, coined 1883 by German neurologist Richard von Krafft-Ebing (1840-1902), from name of Leopold von Sacher- Masoch (1836-1895), Austrian utopian socialist novelist who enshrined his submissive sexuality in "Venus in Furs" (1869, German title "Venus im Pelz").