72581873 has 16 divisors (see below), whose sum is σ = 89564160. Its totient is φ = 57278016.

The previous prime is 72581863. The next prime is 72581909. The reversal of 72581873 is 37818527.

It is a cyclic number.

It is not a de Polignac number, because 72581873 - 2²⁴ = 55804657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72581873.

It is not an unprimeable number, because it can be changed into a prime (72581833) 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, 45536 + ... + 47102.

It is an arithmetic number, because the mean of its divisors is an integer number (5597760).

Almost surely, 2^72581873 is an apocalyptic number.

It is an amenable number.

72581873 is a deficient number, since it is larger than the sum of its proper divisors (16982287).

72581873 is a wasteful number, since it uses less digits than its factorization.

72581873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096.

The product of its digits is 94080, while the sum is 41.

The square root of 72581873 is about 8519.4995745055. The cubic root of 72581873 is about 417.1344485735.

The spelling of 72581873 in words is "seventy-two million, five hundred eighty-one thousand, eight hundred seventy-three".