72579858 has 48 divisors (see below), whose sum is σ = 163511040. Its totient is φ = 21349152.

The previous prime is 72579841. The next prime is 72579869. The reversal of 72579858 is 85897527.

Its product of digits (1411200) is a multiple of the sum of its prime divisors (1800).

It is a self number, because there is not a number n which added to its sum of digits gives 72579858.

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, 40383 + ... + 42141.

It is an arithmetic number, because the mean of its divisors is an integer number (3406480).

Almost surely, 2^72579858 is an apocalyptic number.

72579858 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72579858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81755520).

72579858 is an abundant number, since it is smaller than the sum of its proper divisors (90931182).

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

72579858 is a wasteful number, since it uses less digits than its factorization.

72579858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1800 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 51.

The square root of 72579858 is about 8519.3813155651. The cubic root of 72579858 is about 417.1305884100.

It can be divided in two parts, 72579 and 858, that added together give a palindrome (73437).

The spelling of 72579858 in words is "seventy-two million, five hundred seventy-nine thousand, eight hundred fifty-eight".