Outlook.com is asking for a personal phone number or alternate email address to “improve my security” and won't let me access my account without compliance.
How do I bypass this?
Or, how do I access my contacts to leave?
You may have no choice but to get either an alternate phone number (Google Voice is free), or even easier, an alternate free email address. Extra email addresses are easy to come by and you don't have to use it for anything but the Hotmail backup.