The song knocked What Do You Mean? by Canada's Justin Beiber from the top spot after three weeks and gave Smith his fifth British number one single, the Official Charts Company said.
Watch the teaser here:
R City featuring Adam Levine stayed in third with Locked Away with former number one, Easy Love, by London-based DJ Sigala in fourth.
In the albums chart, electronic duo Disclosure - siblings Howard and Guy Lawrence - notched up their second number one with Caracal.
Veteran British band New Order recorded their highest album position in 22 years, debuting in second with Music Complete, with last week's number one Rattle That Lock by Pink Floyd's David Gilmour in third.
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