TOPIC: Please revert

I notice that many people, including the English native speakers, love to use a phrase “Please revert by ... “ in their emails. I have checked the Cambridge dictionary and found that 'revert' should always be followed by preposition 'to'. Secondly, 'revert' does not bear the same meaning as 'reply'. Please comment if this phrase is acceptable in the real English world.

The statement was “Please revert by email”. I guess the meaning is “Please reply by email”. This was not a typing mistake as I have received similar statements from different persons. It seems very common for people to use 'revert' as a replacement for 'reply'. This is also true for English native speakers. My question was whether 'revert' can have the same meaning as 'reply'.

Yes, I agree. That usage of “revert” is strange to me, but it does indeed seem to be used to mean “reply”, as in the following example from a web page:
“We will revert by fax or email (as is appropriate) within the first few hours of the next weekday.”
One of the meanings of “revert” is to go or come back to an earlier time/state, as in this example about using a dialog on the computer:
“You can revert by clicking Cancel” (meaning go back to the previous status). So it looks like a portion of that meaning is reflected in this use of revert.
However, using “revert” to mean reply is not part of my native-speaker lexicon, but as you know there is considerable variation in English from region to region. I'd recommend you stick with “reply” for e-mail and faxes, and that you use “revert” only when the intended meaning is to return to doing or being something (usually something less satisfactory) from an earlier period.