It has a Max TDP of 65 Watts, so ensure that the CPU cooler you choose can cool that much. I think the Gelid Low Profile is rated at 65, so you should be fine. Can you find one, is the next question. I couldn't, but I'm in Canada.
[EDIT: I did a little more digging and I have some concerns about heat. If you are a graphics guy and want this thing to push pixels all over Photoshop documents, and crave the power of an i7, you may be throttling this puppy at 60 to 80% and generating a significant amount of heat over a long term. The inside of a cube is a very tiny space and there is not a lot of ways to get the heat out, The bottom is perforated, but when it sits on the desk, the real opening on the bottom is about 6" x 1.5" (the opening in the lower rear of the plexiglas surround.) and the top has, of course, the grey grill opening. All the airflow has to occur through those openings, so, I fear that once this thing gets going, you are going to have your fans running pretty fast, which means loud. If you go with an i7, please consider top and bottom fans, and expect them to be noisy. Most of the modders here, when it comes to a cube, try to preserve the "fanless, noiseless" properties of the cube as it sits on the desktop near you rather than under your desk.
Anyway, just some thoughts. I don't think anyone here has put an i7 into a cube, so you could be the first, and then let us all know how the temps are.
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chaos