Hello and good afternoon. SmarterMail pulls the IP information from the Network Interface details within the Windows Registry. So, the public IP not showing in Settings>Bindings would indicate this server is in a NAT (Network Address Translation) configuration, meaning that the network behind this server is translating public IP traffic to private IP traffic. In this case you'll just want to make sure the bindings are set up on that private IP that is associated with the public address. Lastly, you'll also want to make sure you've opened the appropriate ports in both the Windows Firewall and the Azure firewall configuration areas as well. Please let me know if that helps. Have a good one!
Kyle Kerst
IT Coordinator
SmarterTools Inc.
www.smartertools.com