72725 has 6 divisors (see below), whose sum is σ = 90210. Its totient is φ = 58160.

The previous prime is 72719. The next prime is 72727. The reversal of 72725 is 52727.

It can be written as a sum of positive squares in 3 ways, for example, as 14161 + 58564 = 119^2 + 242^2 .

It is not a de Polignac number, because 72725 - 2⁶ = 72661 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1430 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (15035).

2⁷²⁷²⁵ is an apocalyptic number.

It is an amenable number.

72725 is a deficient number, since it is larger than the sum of its proper divisors (17485).

72725 is a wasteful number, since it uses less digits than its factorization.

72725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2914 counting only the distinct ones).

The product of its digits is 980, while the sum is 23.

The square root of 72725 is about 269.6757312032. The cubic root of 72725 is about 41.7408456389.

It can be divided in two parts, 72 and 725, that added together give a palindrome (797).

The spelling of 72725 in words is "seventy-two thousand, seven hundred twenty-five".