72589 has 4 divisors (see below), whose sum is σ = 79200. Its totient is φ = 65980.

The previous prime is 72577. The next prime is 72613. The reversal of 72589 is 98527.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72589 - 2⁷ = 72461 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

72589 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 72589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72559) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3289 + ... + 3310.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2⁷²⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

72589 is a deficient number, since it is larger than the sum of its proper divisors (6611).

72589 is a wasteful number, since it uses less digits than its factorization.

72589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610.

The product of its digits is 5040, while the sum is 31.

The square root of 72589 is about 269.4234585184. The cubic root of 72589 is about 41.7148101293.

The spelling of 72589 in words is "seventy-two thousand, five hundred eighty-nine".