72937 has 2 divisors, whose sum is σ = 72938. Its totient is φ = 72936.

The previous prime is 72931. The next prime is 72949. The reversal of 72937 is 73927.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 576 = 269^2 + 24^2 .

It is a cyclic number.

It is not a de Polignac number, because 72937 - 2¹⁵ = 40169 is a prime.

It is not a weakly prime, because it can be changed into another prime (72931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36468 + 36469.

It is an arithmetic number, because the mean of its divisors is an integer number (36469).

2⁷²⁹³⁷ is an apocalyptic number.

It is an amenable number.

72937 is a deficient number, since it is larger than the sum of its proper divisors (1).

72937 is an equidigital number, since it uses as much as digits as its factorization.

72937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2646, while the sum is 28.

The square root of 72937 is about 270.0685098267. The cubic root of 72937 is about 41.7813657470.

Subtracting 72937 from its reverse (73927), we obtain a triangular number (990 = T₄₄).

The spelling of 72937 in words is "seventy-two thousand, nine hundred thirty-seven".