72548289 has 24 divisors (see below), whose sum is σ = 120338400. Its totient is φ = 41653440.

The previous prime is 72548269. The next prime is 72548291. The reversal of 72548289 is 98284527.

It is not a de Polignac number, because 72548289 - 2⁵ = 72548257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72548219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17404 + ... + 21165.

It is an arithmetic number, because the mean of its divisors is an integer number (5014100).

Almost surely, 2^72548289 is an apocalyptic number.

It is an amenable number.

72548289 is a deficient number, since it is larger than the sum of its proper divisors (47790111).

72548289 is a wasteful number, since it uses less digits than its factorization.

72548289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38605 (or 38602 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 72548289 is about 8517.5283386673. The cubic root of 72548289 is about 417.0701019077.

The spelling of 72548289 in words is "seventy-two million, five hundred forty-eight thousand, two hundred eighty-nine".