Incorrect spelling, explanation: th isn’t the correct ending for this number, because for ordinal numbers endings of word forms are used. So, for thirsty-second it is nd (32nd).
32th for the same reason is incorrect. The correct form is 32nd.
Correct spelling, explanation: this form is correct, because nd is the ending of the word thirsty-second. This is how we add endings to ordinal numbers – last two letters of the full-word form. Therefore 32nd is correct.
32th is incorrect because th is not a part of the word form. It is used for example for number 35th, because thirty-fifth ends with th. Thus 32nd is the correct way to write this number.
Definition of 32nd:
numeral, ordinal number between 31st and 33rd
I won’t have a party for my 32nd birthday, because I don’t like celebrating birthdays.
For 32nd anniversary of founding the company we are having a small party.
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