72586044 has 72 divisors (see below), whose sum is σ = 194004720. Its totient is φ = 23721984.

The previous prime is 72586027. The next prime is 72586051. The reversal of 72586044 is 44068527.

72586044 is a `hidden beast` number, since 72 + 586 + 0 + 4 + 4 = 666.

72586044 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50812 + ... + 52220.

It is an arithmetic number, because the mean of its divisors is an integer number (2694510).

Almost surely, 2^72586044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72586044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97002360).

72586044 is an abundant number, since it is smaller than the sum of its proper divisors (121418676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72586044 is a wasteful number, since it uses less digits than its factorization.

72586044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 72586044 is about 8519.7443623621. The cubic root of 72586044 is about 417.1424387891.

It can be divided in two parts, 725860 and 44, that added together give a square (725904 = 852²).

The spelling of 72586044 in words is "seventy-two million, five hundred eighty-six thousand, forty-four".