72586929961 has 16 divisors (see below), whose sum is σ = 90172704384. Its totient is φ = 56894667264.

The previous prime is 72586929959. The next prime is 72586929973. The reversal of 72586929961 is 16992968527.

It is a cyclic number.

It is not a de Polignac number, because 72586929961 - 2¹ = 72586929959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72586929893 and 72586929902.

It is not an unprimeable number, because it can be changed into a prime (72586929911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3717640 + ... + 3737113.

It is an arithmetic number, because the mean of its divisors is an integer number (5635794024).

Almost surely, 2^72586929961 is an apocalyptic number.

It is an amenable number.

72586929961 is a deficient number, since it is larger than the sum of its proper divisors (17585774423).

72586929961 is a wasteful number, since it uses less digits than its factorization.

72586929961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454880.

The product of its digits is 29393280, while the sum is 64.

The spelling of 72586929961 in words is "seventy-two billion, five hundred eighty-six million, nine hundred twenty-nine thousand, nine hundred sixty-one".