Coins are fairly ‘clean’ as far as money goes. Cents are copper encased zinc, nickels are 75% copper, and dimes & quarters are 25% copper on the clad with a 100% copper core. Washing them in tap water would probably be good enough as the copper content of the coins would naturally kill bacteria and viruses.
https://en.wikipedia.org/wiki/Antimicrobial_properties_of_copper
Along with copper, gold and silver also have antimicrobial properties. One reason why gold, silver, and copper have been used as money and a store of wealth throughout history was for their medicinal/curative powers.