72065 has 16 divisors (see below), whose sum is σ = 103680. Its totient is φ = 47040.

The previous prime is 72053. The next prime is 72073. The reversal of 72065 is 56027.

It is not a de Polignac number, because 72065 - 2⁸ = 71809 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72065.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁷²⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

72065 is a deficient number, since it is larger than the sum of its proper divisors (31615).

72065 is a wasteful number, since it uses less digits than its factorization.

72065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 72065 is about 268.4492503249. The cubic root of 72065 is about 41.6141917186.

The spelling of 72065 in words is "seventy-two thousand, sixty-five".