72465165 has 16 divisors (see below), whose sum is σ = 128827200. Its totient is φ = 38648016.

The previous prime is 72465149. The next prime is 72465181. The reversal of 72465165 is 56156427.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72465149) and next prime (72465181).

It is not a de Polignac number, because 72465165 - 2⁴ = 72465149 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268255 + ... + 268524.

It is an arithmetic number, because the mean of its divisors is an integer number (8051700).

Almost surely, 2^72465165 is an apocalyptic number.

It is an amenable number.

72465165 is a deficient number, since it is larger than the sum of its proper divisors (56362035).

72465165 is a wasteful number, since it uses less digits than its factorization.

72465165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536793 (or 536787 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 72465165 is about 8512.6473555528. The cubic root of 72465165 is about 416.9107515640.

The spelling of 72465165 in words is "seventy-two million, four hundred sixty-five thousand, one hundred sixty-five".