Here's how that would look in an actual email in which you're requesting someone's phone number: “Since I like to communicate via phone for urgent matters, would you mind giving me your contact number for easier communication?” So, help your recipient scan your email — in turn, you might get their number more easily.
How do you ask someone for their phone number professionally?
Tell the person you'd like to phone her and would she please give you her phone number. If that won't work, offer her your number. Have some nice business cards made up with your name, phone number and e-mail address and you can hand them out to people with whom you would like to be in contact.