There are times when I need to update the zone file on my remote server.  When I do this, it can take up to a day to become updated around the globe – but usually less than one hour in many places.  In any case, there is a tool that I like to use to get the DNS status for my domains:

https://www.whatsmydns.net/

It is even split up according to ‘A’ (page) and ‘MX’ (email) records, among others.