I know that there are multiple things (food, corpses, menstruation, etc.) that can make one unclean. I'm just uncertain as to what being unclean meant in practicality, especially for touching the carcass of an unclean animal, or a corpse (it's fairly clear what uncleanness for menstruation looks like, according to Leviticus).

In short: what are the consequences of being unclean? Does one have to be isolated from the community? Can anyone touch them, etc.?