To Urge
To Press For, To Demand
する verb
If 催促 is urge, then the verb version would be to urge.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well. Will help to know 催促 first.
催促するようで申し訳ありませんが、東京タワーの写真を何枚か撮って月曜日までに送ってもらえませんでしょうか。
I’m sorry to be so demanding, but can you take some pictures of Tokyo Tower and send them to me by Monday, please? Thanks.