72584784432 has 120 divisors (see below), whose sum is σ = 205349133600. Its totient is φ = 23931878400.

The previous prime is 72584784421. The next prime is 72584784463. The reversal of 72584784432 is 23448748527.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21043444 + ... + 21046892.

It is an arithmetic number, because the mean of its divisors is an integer number (1711242780).

Almost surely, 2^72584784432 is an apocalyptic number.

72584784432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72584784432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102674566800).

72584784432 is an abundant number, since it is smaller than the sum of its proper divisors (132764349168).

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

72584784432 is a wasteful number, since it uses less digits than its factorization.

72584784432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5002 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 54.

The spelling of 72584784432 in words is "seventy-two billion, five hundred eighty-four million, seven hundred eighty-four thousand, four hundred thirty-two".