72885 has 16 divisors (see below), whose sum is σ = 120384. Its totient is φ = 37632.

The previous prime is 72883. The next prime is 72889. The reversal of 72885 is 58827.

72885 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 72885 - 2¹ = 72883 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72883) 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, 589 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (7524).

It is a Poulet number, since it divides 2⁷²⁸⁸⁴-1.

2⁷²⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

72885 is a deficient number, since it is larger than the sum of its proper divisors (47499).

72885 is a wasteful number, since it uses less digits than its factorization.

72885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164.

The product of its digits is 4480, while the sum is 30.

The square root of 72885 is about 269.9722207932. The cubic root of 72885 is about 41.7714341277.

The spelling of 72885 in words is "seventy-two thousand, eight hundred eighty-five".