72800256 has 144 divisors (see below), whose sum is σ = 211203720. Its totient is φ = 22282240.

The previous prime is 72800251. The next prime is 72800261. The reversal of 72800256 is 65200827.

It is an interprime number because it is at equal distance from previous prime (72800251) and next prime (72800261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72800251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1775596 + ... + 1775636.

Almost surely, 2^72800256 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 72800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105601860).

72800256 is an abundant number, since it is smaller than the sum of its proper divisors (138403464).

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

72800256 is a wasteful number, since it uses less digits than its factorization.

72800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 72800256 is about 8532.3066048988. The cubic root of 72800256 is about 417.5523851702.

The spelling of 72800256 in words is "seventy-two million, eight hundred thousand, two hundred fifty-six".