256272 has 40 divisors (see below), whose sum is σ = 699360. Its totient is φ = 80640.

The previous prime is 256219. The next prime is 256279. The reversal of 256272 is 272652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (256279) 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, 772 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (17484).

2²⁵⁶²⁷² 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 256272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349680).

256272 is an abundant number, since it is smaller than the sum of its proper divisors (443088).

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

256272 is a wasteful number, since it uses less digits than its factorization.

256272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 256272 is about 506.2331478677. The cubic root of 256272 is about 63.5185223004.

It can be divided in two parts, 256 and 272, that added together give a triangular number (528 = T₃₂).

The spelling of 256272 in words is "two hundred fifty-six thousand, two hundred seventy-two".