72116700337 has 16 divisors (see below), whose sum is σ = 79108140672. Its totient is φ = 65198129920.

The previous prime is 72116700311. The next prime is 72116700347. The reversal of 72116700337 is 73300761127.

It is not a de Polignac number, because 72116700337 - 2²⁷ = 71982482609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72116700296 and 72116700305.

It is not an unprimeable number, because it can be changed into a prime (72116700347) 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 15 ways as a sum of consecutive naturals, for example, 5764473 + ... + 5776969.

It is an arithmetic number, because the mean of its divisors is an integer number (4944258792).

Almost surely, 2^72116700337 is an apocalyptic number.

It is an amenable number.

72116700337 is a deficient number, since it is larger than the sum of its proper divisors (6991440335).

72116700337 is a wasteful number, since it uses less digits than its factorization.

72116700337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15368.

The product of its (nonzero) digits is 37044, while the sum is 37.

The spelling of 72116700337 in words is "seventy-two billion, one hundred sixteen million, seven hundred thousand, three hundred thirty-seven".