Challenge 87

How old was Claudiomiro?

Difficulty level:

While opening a book, an anthropologist found the following message:
"My name is Claudiomiro. The year I was born was a perfect cube. The year I died, a perfect square. How much I lived was also a perfect square."
Knowing that the book was written in the eighteenth century, how old did Claudiomiro live?

* challenge sent by Carlos Gonçalves dos Santos, student of Mathematics