72628584 has 96 divisors (see below), whose sum is σ = 213134400. Its totient is φ = 20563200.

The previous prime is 72628579. The next prime is 72628597. The reversal of 72628584 is 48582627.

It is a happy number.

It is a super-2 number, since 2×72628584² = 10549822427690112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177372 + ... + 177780.

It is an arithmetic number, because the mean of its divisors is an integer number (2220150).

Almost surely, 2^72628584 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 72628584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106567200).

72628584 is an abundant number, since it is smaller than the sum of its proper divisors (140505816).

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

72628584 is a wasteful number, since it uses less digits than its factorization.

72628584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 572 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 72628584 is about 8522.2405504656. The cubic root of 72628584 is about 417.2239134679.

The spelling of 72628584 in words is "seventy-two million, six hundred twenty-eight thousand, five hundred eighty-four".