Infrastructure. It's country that has population less than Kokomo. It doesn't have it own money, military. What it does have is really loose tax laws concerning businesses. There are actually more businesses than people in Lichtenstein.... which ones can extrapolate that those businesses don't actually exist within it's borders, but simply keep an address there. So that corporate rate, is more "we'll give you free money if you let us have mailbox" than an actual physical entity that would need to be overseen by local business laws. It's a sweetheart deal.
BTW, I didn't know any of the above, I had to look it up. Well, I did know how small it was, and given the tax figures you quoted, it seemed obvious that infrastructure was why.
What are all the reasons why businesses leave the US? Regulations. Taxes.
What's the solution for that? More regulations? Higher Taxes?
Your reason for taxing companies at a high rate seems to be tied to your belief in wealth redistribution. Where is that wealth, taken from taxes, being redistributed?