Connor is thinking of a two-digit number $n$, which satisfies the following properties:

- If $n > 70$, then $n$ is a perfect square.
- If $n > 40$, then $n$ is prime.
- If $n < 80$, then the sum of the digits of $n$ is $14$.

What is Connor's number?

Let's think step by step and output the final answer within \boxed{}.
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