72135791 has 36 divisors (see below), whose sum is σ = 94129344. Its totient is φ = 55036800.

The previous prime is 72135781. The next prime is 72135827. The reversal of 72135791 is 19753127.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-72135791 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72135781) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256571 + ... + 256851.

It is an arithmetic number, because the mean of its divisors is an integer number (2614704).

Almost surely, 2^72135791 is an apocalyptic number.

72135791 is a deficient number, since it is larger than the sum of its proper divisors (21993553).

72135791 is a wasteful number, since it uses less digits than its factorization.

72135791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 332 counting only the distinct ones).

The product of its digits is 13230, while the sum is 35.

The square root of 72135791 is about 8493.2791664939. The cubic root of 72135791 is about 416.2781343127.

The spelling of 72135791 in words is "seventy-two million, one hundred thirty-five thousand, seven hundred ninety-one".