A payment with an extension is not an estimated tax payment. (The amount you paid with the extension might have been an estimate of what you owed, but the term "estimated tax" has a special meaning on a tax return. It means quarterly payments that were made during the year.) Depending on the state, there might be separate places on the tax return for estimated tax and a payment with an extension. So it might be that the state didn't recognize the payment with the extension because it's on the wrong line of your tax return.
Every state has different forms. What state did you file in? What state tax form did you file? Look at your copy of the state tax return that you filed. Does the $2,072 appear on the form? If so, what line is it on?
