72791206131 has 12 divisors (see below), whose sum is σ = 112900646472. Its totient is φ = 41594974848.

The previous prime is 72791206129. The next prime is 72791206133. The reversal of 72791206131 is 13160219727.

It is an interprime number because it is at equal distance from previous prime (72791206129) and next prime (72791206133).

It is not a de Polignac number, because 72791206131 - 2¹ = 72791206129 is a prime.

It is a super-2 number, since 2×72791206131² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72791206131.

It is not an unprimeable number, because it can be changed into a prime (72791206133) 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 11 ways as a sum of consecutive naturals, for example, 247588990 + ... + 247589283.

It is an arithmetic number, because the mean of its divisors is an integer number (9408387206).

Almost surely, 2^72791206131 is an apocalyptic number.

72791206131 is a deficient number, since it is larger than the sum of its proper divisors (40109440341).

72791206131 is a wasteful number, since it uses less digits than its factorization.

72791206131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495178290 (or 495178283 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 72791206131 in words is "seventy-two billion, seven hundred ninety-one million, two hundred six thousand, one hundred thirty-one".