72828724315232 has 96 divisors (see below), whose sum is σ = 150924029082624. Its totient is φ = 34557010560000.

The previous prime is 72828724315213. The next prime is 72828724315241. The reversal of 72828724315232 is 23251342782827.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6428357 + ... + 13674107.

It is an arithmetic number, because the mean of its divisors is an integer number (1572125302944).

Almost surely, 2^{72828724315232} 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 72828724315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75462014541312).

72828724315232 is an abundant number, since it is smaller than the sum of its proper divisors (78095304767392).

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

72828724315232 is a wasteful number, since it uses less digits than its factorization.

72828724315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246012 (or 7246004 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 56.

The spelling of 72828724315232 in words is "seventy-two trillion, eight hundred twenty-eight billion, seven hundred twenty-four million, three hundred fifteen thousand, two hundred thirty-two".