72165 has 16 divisors (see below), whose sum is σ = 122688. Its totient is φ = 36096.

The previous prime is 72161. The next prime is 72167. The reversal of 72165 is 56127.

It is not a de Polignac number, because 72165 - 2² = 72161 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (7668).

2⁷²¹⁶⁵ is an apocalyptic number.

It is an amenable number.

72165 is a deficient number, since it is larger than the sum of its proper divisors (50523).

72165 is a wasteful number, since it uses less digits than its factorization.

72165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308.

The product of its digits is 420, while the sum is 21.

The square root of 72165 is about 268.6354406998. The cubic root of 72165 is about 41.6334312746.

The spelling of 72165 in words is "seventy-two thousand, one hundred sixty-five".