256072000 has 56 divisors (see below), whose sum is σ = 634182120. Its totient is φ = 102425600.

The previous prime is 256071989. The next prime is 256072007. The reversal of 256072000 is 270652.

It can be written as a sum of positive squares in 4 ways, for example, as 80138304 + 175933696 = 8952^2 + 13264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256072007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8005 + ... + 24004.

Almost surely, 2^256072000 is an apocalyptic number.

256072000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256072000 is an abundant number, since it is smaller than the sum of its proper divisors (378110120).

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

256072000 is an equidigital number, since it uses as much as digits as its factorization.

256072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32036 (or 32016 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 256072000 is about 16002.2498418191. The cubic root of 256072000 is about 635.0199427469.

The spelling of 256072000 in words is "two hundred fifty-six million, seventy-two thousand".