Looking on the internet deeply has found these results:

worldwide publicity is the most popular phrase on the web.

publicity worldwide 15,250 results on the web	worldwide publicity 1108,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
"Miss Europe will receive a worldwide publicity campaign."	"Miss Europe will receive a worldwide publicity campaign."

publicity worldwide

15,250 results on the web

worldwide publicity

1108,000 results on the web

More popular!