72937009 has 2 divisors, whose sum is σ = 72937010. Its totient is φ = 72937008.

The previous prime is 72936977. The next prime is 72937043. The reversal of 72937009 is 90073927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70224400 + 2712609 = 8380^2 + 1647^2 .

It is a cyclic number.

It is not a de Polignac number, because 72937009 - 2⁵ = 72936977 is a prime.

It is not a weakly prime, because it can be changed into another prime (72937099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36468504 + 36468505.

It is an arithmetic number, because the mean of its divisors is an integer number (36468505).

Almost surely, 2^72937009 is an apocalyptic number.

It is an amenable number.

72937009 is a deficient number, since it is larger than the sum of its proper divisors (1).

72937009 is an equidigital number, since it uses as much as digits as its factorization.

72937009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814, while the sum is 37.

The square root of 72937009 is about 8540.3166803111. The cubic root of 72937009 is about 417.8136746549.

The spelling of 72937009 in words is "seventy-two million, nine hundred thirty-seven thousand, nine".