In one narration the wording is: "Wherever the time of prayer finds any individual of my Ummah, there is his place of prayer and there is his means of purification." (Allamah al-Haythami says:) I say: Imam al-Tirmidhi has recorded a part of it.
Imam Ahmad recorded it, and al-Tabarani recorded something similar, except that he narrated these words: "I have been sent to every fair-skinned and dark-skinned person." Imam Ahmad's narrators are thiqat (trustworthy).