Same for wax and many other sticky things. Once the goo has been dissolved, then a mild soap will take care of the oil.
As was mentioned, test a small patch first.
As for the reason for the stickiness...I have seen a few plastics that will become sticky over many years' time...without ever having an adhesive on them. Not sure why or what causes it, but don't know if any of the above (or any tips about removing adhesives) will help.