72200216165 has 32 divisors (see below), whose sum is σ = 108051978240. Its totient is φ = 44994196800.

The previous prime is 72200216107. The next prime is 72200216213. The reversal of 72200216165 is 56161200227.

It is not a de Polignac number, because 72200216165 - 2²⁴ = 72183438949 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317176 + ... + 1370894.

It is an arithmetic number, because the mean of its divisors is an integer number (3376624320).

Almost surely, 2^72200216165 is an apocalyptic number.

It is an amenable number.

72200216165 is a deficient number, since it is larger than the sum of its proper divisors (35851762075).

72200216165 is a wasteful number, since it uses less digits than its factorization.

72200216165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57233.

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 72200216165 in words is "seventy-two billion, two hundred million, two hundred sixteen thousand, one hundred sixty-five".