72725216256 has 880 divisors, whose sum is σ = 276775361280. Its totient is φ = 18473287680.

The previous prime is 72725216243. The next prime is 72725216287. The reversal of 72725216256 is 65261252727.

72725216256 is a `hidden beast` number, since 7 + 2 + 72 + 521 + 6 + 2 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 376814496 + ... + 376814688.

It is an arithmetic number, because the mean of its divisors is an integer number (314517456).

Almost surely, 2^72725216256 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 72725216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138387680640).

72725216256 is an abundant number, since it is smaller than the sum of its proper divisors (204050145024).

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

72725216256 is a wasteful number, since it uses less digits than its factorization.

72725216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 275 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 72725216256 in words is "seventy-two billion, seven hundred twenty-five million, two hundred sixteen thousand, two hundred fifty-six".