72101165 has 24 divisors (see below), whose sum is σ = 94229352. Its totient is φ = 52920320.

The previous prime is 72101129. The next prime is 72101171. The reversal of 72101165 is 56110127.

It can be written as a sum of positive squares in 12 ways, for example, as 18679684 + 53421481 = 4322^2 + 7309^2 .

It is not a de Polignac number, because 72101165 - 2⁸ = 72100909 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72101165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58637 + ... + 59853.

It is an arithmetic number, because the mean of its divisors is an integer number (3926223).

Almost surely, 2^72101165 is an apocalyptic number.

It is an amenable number.

72101165 is a deficient number, since it is larger than the sum of its proper divisors (22128187).

72101165 is a wasteful number, since it uses less digits than its factorization.

72101165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 72101165 is about 8491.2404865249. The cubic root of 72101165 is about 416.2115175731.

The spelling of 72101165 in words is "seventy-two million, one hundred one thousand, one hundred sixty-five".