Phone getting dirty

You wet your fingers with water, then you apply it on the dirty spot, then I rub it kinda hard with my either index or thumb and it comes off. You can clearly see the water turning black.
 
I seem to have a problem with the corners peeling off. Also there is a lot of dust and other particles entering the crevasses between the gaps in the volume, camera and power buttons, as well as inside the holes of the speaker.

Anyone know how to clean it?

EDIT: I got the phone mid-April.
 

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