72824438344 has 128 divisors (see below), whose sum is σ = 171606528000. Its totient is φ = 28249461504.

The previous prime is 72824438273. The next prime is 72824438353. The reversal of 72824438344 is 44383442827.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40842877 + ... + 40844659.

It is an arithmetic number, because the mean of its divisors is an integer number (1340676000).

Almost surely, 2^72824438344 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 72824438344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85803264000).

72824438344 is an abundant number, since it is smaller than the sum of its proper divisors (98782089656).

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

72824438344 is a wasteful number, since it uses less digits than its factorization.

72824438344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3503 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 49.

The spelling of 72824438344 in words is "seventy-two billion, eight hundred twenty-four million, four hundred thirty-eight thousand, three hundred forty-four".