72640967931009 has 8 divisors (see below), whose sum is σ = 107616248786720. Its totient is φ = 48427311953988.

The previous prime is 72640967930989. The next prime is 72640967931019. The reversal of 72640967931009 is 90013976904627.

72640967931009 is a `hidden beast` number, since 72 + 6 + 409 + 67 + 93 + 10 + 0 + 9 = 666.

It is not a de Polignac number, because 72640967931009 - 2¹¹ = 72640967928961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72640967931019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1345203109807 + ... + 1345203109860.

It is an arithmetic number, because the mean of its divisors is an integer number (13452031098340).

Almost surely, 2^{72640967931009} is an apocalyptic number.

It is an amenable number.

72640967931009 is a deficient number, since it is larger than the sum of its proper divisors (34975280855711).

72640967931009 is a wasteful number, since it uses less digits than its factorization.

72640967931009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690406219676 (or 2690406219670 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 72640967931009 in words is "seventy-two trillion, six hundred forty billion, nine hundred sixty-seven million, nine hundred thirty-one thousand, nine".