72859706224 has 160 divisors (see below), whose sum is σ = 156964953600. Its totient is φ = 32611368960.

The previous prime is 72859706197. The next prime is 72859706243. The reversal of 72859706224 is 42260795827.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187299822 + ... + 187300210.

It is an arithmetic number, because the mean of its divisors is an integer number (981030960).

Almost surely, 2^72859706224 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 72859706224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78482476800).

72859706224 is an abundant number, since it is smaller than the sum of its proper divisors (84105247376).

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

72859706224 is a wasteful number, since it uses less digits than its factorization.

72859706224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 72859706224 in words is "seventy-two billion, eight hundred fifty-nine million, seven hundred six thousand, two hundred twenty-four".