How clean a rubber OtterBox iPhone case?

I got a lime green OtterBox case (rubber) for my phone, and I've had it for like a couple weeks. But the edges (the spots where I touch it) are now all brownish and dingy and looks dirty and gross…

How do I clean it?!
I've tried soaking the case in soapy water, I've tried a Magic Eraser sponge, i tried cotton balls and alcohol, I've soaked it in Baking soda and vinegar! I've tried everything! I've scrubbed that thang with a toothbrush and toothpaste even!

What do I do? How do I clean that thing? I don't wanna get a new one, I just dropped $35 on a price of rubber and I want it to last more that 2 weeks!

Nail polish remover? Oxi clean? Comet? (I can't use bleach)

Clean with soap and water than air dry it

Get a wet paper towel wet your phone case put toothpaste on your finger and circle the toothpaste around like you're brushing your teeth let it sit with the toothpaste on it for three minutes and then wipe it off

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