72137091 has 32 divisors (see below), whose sum is σ = 110736640. Its totient is φ = 41399424.

The previous prime is 72137089. The next prime is 72137111. The reversal of 72137091 is 19073127.

72137091 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 72137091 - 2¹ = 72137089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72137041) 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, 48921 + ... + 50373.

It is an arithmetic number, because the mean of its divisors is an integer number (3460520).

Almost surely, 2^72137091 is an apocalyptic number.

72137091 is a deficient number, since it is larger than the sum of its proper divisors (38599549).

72137091 is a wasteful number, since it uses less digits than its factorization.

72137091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 72137091 is about 8493.3556972495. The cubic root of 72137091 is about 416.2806349591.

The spelling of 72137091 in words is "seventy-two million, one hundred thirty-seven thousand, ninety-one".