256347072 has 112 divisors (see below), whose sum is σ = 761085600. Its totient is φ = 84602880.

The previous prime is 256347067. The next prime is 256347073. The reversal of 256347072 is 270743652.

It is a happy number.

256347072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256347073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187672 + ... + 189032.

Almost surely, 2^256347072 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 256347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380542800).

256347072 is an abundant number, since it is smaller than the sum of its proper divisors (504738528).

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

256347072 is a wasteful number, since it uses less digits than its factorization.

256347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 256347072 is about 16010.8423263737. The cubic root of 256347072 is about 635.2472404046.

The spelling of 256347072 in words is "two hundred fifty-six million, three hundred forty-seven thousand, seventy-two".