72584424 has 160 divisors (see below), whose sum is σ = 235224000. Its totient is φ = 20666880.

The previous prime is 72584377. The next prime is 72584443. The reversal of 72584424 is 42448527.

72584424 is a `hidden beast` number, since 72 + 584 + 4 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120877 + ... + 121475.

It is an arithmetic number, because the mean of its divisors is an integer number (1470150).

Almost surely, 2^72584424 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 72584424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117612000).

72584424 is an abundant number, since it is smaller than the sum of its proper divisors (162639576).

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

72584424 is a wasteful number, since it uses less digits than its factorization.

72584424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 632 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 72584424 is about 8519.6492885564. The cubic root of 72584424 is about 417.1393354571.

The spelling of 72584424 in words is "seventy-two million, five hundred eighty-four thousand, four hundred twenty-four".