72589321 has 8 divisors (see below), whose sum is σ = 85635584. Its totient is φ = 60212160.

The previous prime is 72589267. The next prime is 72589331. The reversal of 72589321 is 12398527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72589321 - 2¹⁵ = 72556553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72589331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167040 + ... + 167473.

It is an arithmetic number, because the mean of its divisors is an integer number (10704448).

Almost surely, 2^72589321 is an apocalyptic number.

It is an amenable number.

72589321 is a deficient number, since it is larger than the sum of its proper divisors (13046263).

72589321 is a wasteful number, since it uses less digits than its factorization.

72589321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334551.

The product of its digits is 30240, while the sum is 37.

The square root of 72589321 is about 8519.9366781684. The cubic root of 72589321 is about 417.1487161905.

Subtracting from 72589321 its product of digits (30240), we obtain a triangular number (72559081 = T₁₂₀₄₆).

The spelling of 72589321 in words is "seventy-two million, five hundred eighty-nine thousand, three hundred twenty-one".