Based on an HP CM2320fxi MFP
To the printer:
http, tcp/80: web access.
https, tcp/443: secure web access.
tcp/9100: receiving print jobs.
snmp, udp/161: for auto-configuration of HP Universal Print Driver.
From the printer:
smtp, tcp/25: to mail server.
dns, udp/53: to
DNS server (needed for scan to e-mail).