72125691 has 32 divisors (see below), whose sum is σ = 113452800. Its totient is φ = 40279680.

The previous prime is 72125687. The next prime is 72125693. The reversal of 72125691 is 19652127.

It is not a de Polignac number, because 72125691 - 2² = 72125687 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72125693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21645 + ... + 24753.

It is an arithmetic number, because the mean of its divisors is an integer number (3545400).

Almost surely, 2^72125691 is an apocalyptic number.

72125691 is a deficient number, since it is larger than the sum of its proper divisors (41327109).

72125691 is a wasteful number, since it uses less digits than its factorization.

72125691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179.

The product of its digits is 7560, while the sum is 33.

The square root of 72125691 is about 8492.6845579004. The cubic root of 72125691 is about 416.2587051900.

The spelling of 72125691 in words is "seventy-two million, one hundred twenty-five thousand, six hundred ninety-one".