72668576331 has 16 divisors (see below), whose sum is σ = 115938469920. Its totient is φ = 44719123680.

The previous prime is 72668576317. The next prime is 72668576371. The reversal of 72668576331 is 13367586627.

72668576331 is a `hidden beast` number, since 7 + 2 + 6 + 68 + 576 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 72668576331 - 2¹⁰ = 72668575307 is a prime.

It is a super-2 number, since 2×72668576331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72668576371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103516140 + ... + 103516841.

It is an arithmetic number, because the mean of its divisors is an integer number (7246154370).

Almost surely, 2^72668576331 is an apocalyptic number.

72668576331 is a deficient number, since it is larger than the sum of its proper divisors (43269893589).

72668576331 is a wasteful number, since it uses less digits than its factorization.

72668576331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207033003 (or 207032997 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 72668576331 in words is "seventy-two billion, six hundred sixty-eight million, five hundred seventy-six thousand, three hundred thirty-one".