856272 has 20 divisors (see below), whose sum is σ = 2212160. Its totient is φ = 285408.

The previous prime is 856249. The next prime is 856277. The reversal of 856272 is 272658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856277) by changing a digit.

856272 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8872 + ... + 8967.

It is an arithmetic number, because the mean of its divisors is an integer number (110608).

2⁸⁵⁶²⁷² is an apocalyptic number.

It is an amenable number.

856272 is an abundant number, since it is smaller than the sum of its proper divisors (1355888).

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

856272 is a wasteful number, since it uses less digits than its factorization.

856272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17850 (or 17844 counting only the distinct ones).

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

The square root of 856272 is about 925.3496636407. The cubic root of 856272 is about 94.9592438288.

It can be divided in two parts, 856 and 272, that added together give a triangular number (1128 = T₄₇).

The spelling of 856272 in words is "eight hundred fifty-six thousand, two hundred seventy-two".