37 is a prime number.
37 is the least number of 5th powers needed to represent every possible integer.
37 is the maximum number of regions into which 8 lines divide the plane.
The sum of the first 37 primes is a Fibonacci number.
37 has a representation as a sum of two squares: 37 = 12 + 62.
37 is the hypotenuse of a primitive Pythagorean triple: 372 = 122 + 352.