72585844 has 12 divisors (see below), whose sum is σ = 127354500. Its totient is φ = 36198848.

The previous prime is 72585839. The next prime is 72585859. The reversal of 72585844 is 44858527.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31472100 + 41113744 = 5610^2 + 6412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72585844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21769 + ... + 24880.

It is an arithmetic number, because the mean of its divisors is an integer number (10612875).

Almost surely, 2^72585844 is an apocalyptic number.

It is an amenable number.

72585844 is a deficient number, since it is larger than the sum of its proper divisors (54768656).

72585844 is a wasteful number, since it uses less digits than its factorization.

72585844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47042 (or 47040 counting only the distinct ones).

The product of its digits is 358400, while the sum is 43.

The square root of 72585844 is about 8519.7326249126. The cubic root of 72585844 is about 417.1420556642.

The spelling of 72585844 in words is "seventy-two million, five hundred eighty-five thousand, eight hundred forty-four".