$\textbf{Children's Age}$

Joe and John meet at a bar and become acquainted. John tells Joe that he has three children. So Joe asks John "How old are they?". "Well, the product of their ages is $72$.", John replies, "and the sum of their ages is the street number of this bar." Joe walks out the door, checks the number, and comes back "The information is not sufficient." John says "I agree. Here is another piece of information: my youngest child likes ice cream." Joe thinks for a minute and says "Now I know your children's ages."

What are the ages of John's children?