256872 has 64 divisors (see below), whose sum is σ = 806400. Its totient is φ = 66240.

The previous prime is 256831. The next prime is 256873. The reversal of 256872 is 278652.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (256873) by changing a digit.

256872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1779 + ... + 1917.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

256872 is a Friedman number, since it can be written as 8^6-5272, using all its digits and the basic arithmetic operations.

2²⁵⁶⁸⁷² is an apocalyptic number.

256872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

256872 is an abundant number, since it is smaller than the sum of its proper divisors (549528).

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

256872 is a wasteful number, since it uses less digits than its factorization.

256872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

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

The square root of 256872 is about 506.8254137274. The cubic root of 256872 is about 63.5680548405.

It can be divided in two parts, 256 and 872, that added together give a triangular number (1128 = T₄₇).

The spelling of 256872 in words is "two hundred fifty-six thousand, eight hundred seventy-two".