set up a track of vinyl noise/tape hiss/whatever and side chain it to the kick and/or snare. group them and compress to taste. i find this a good way of gluing drums together while getting a bit of a dirty vibe.
As has been mentioned this sounds like clean drums with vinyl crackle looped over the top. Sampling crackle from the start or end of an old worn out vinyl is about 100 times better than a plug in and not to mention more fun.
To make the drums larger and more "hip-hoppy" parallel compression is employed. A touch of tape saturation can send this effect even further but the drums will really start to dominate the mix.
Also worth mentioning the sparce arrangment of this song gives very little for the drums to compete with.
Sampling crackle from the start or end of an old worn out vinyl is about 100 times better than a plug in and not to mention more fun.
Couldn't quite find any free samples out there mate :o
Thanks to everyone, turns out it wasn't much of a deal: I used iZotope Vinyl and sidechained parallel compressed drums to it.
To get closer to the Phantogram sound I just used cheap-sounding lo-fi drum samples haha