Now, I don't specifically target the international market, but a large portion of my customers (less than 50%, but, I think, more than 20%) are from outside of the country. To the best of my knowledge (and I do pay someone for tax advice) being as I'm providing a service and not leaving the country I don't need to do anything special because these customers are outside the country.

I've still gotta pay US taxes on my profits, of course, just like if my customers were all within the US, but to my knowledge the US government is happy if I pay my US taxes, and none of the other governments have any authority over me, so I as long as I'm square with the IRS here in the US, I don't need to worry about the laws of every country where a customer might come from.

This may be different if you have employees in other countries (all my employees and current contractors are US citizens working here in the US. I have had foreign contractors in the past, and I'm much less sure of what the law is in that case.)

This may also be different if you have infrastructure outside the country. All my stuff is currently in the US.