256216272 has 80 divisors (see below), whose sum is σ = 719537280. Its totient is φ = 78091776.

The previous prime is 256216267. The next prime is 256216309. The reversal of 256216272 is 272612652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66133 + ... + 69899.

It is an arithmetic number, because the mean of its divisors is an integer number (8994216).

Almost surely, 2^256216272 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 256216272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359768640).

256216272 is an abundant number, since it is smaller than the sum of its proper divisors (463321008).

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

256216272 is a wasteful number, since it uses less digits than its factorization.

256216272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3894 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 256216272 is about 16006.7570731863. The cubic root of 256216272 is about 635.1391779581.

The spelling of 256216272 in words is "two hundred fifty-six million, two hundred sixteen thousand, two hundred seventy-two".