256572 has 18 divisors (see below), whose sum is σ = 648648. Its totient is φ = 85512.

The previous prime is 256567. The next prime is 256577. The reversal of 256572 is 275652.

256572 is a `hidden beast` number, since 2 + 5 + 657 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (256567) and next prime (256577).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256577) by changing a digit.

256572 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 5 ways as a sum of consecutive naturals, for example, 3528 + ... + 3599.

It is an arithmetic number, because the mean of its divisors is an integer number (36036).

2²⁵⁶⁵⁷² is an apocalyptic number.

It is an amenable number.

256572 is an abundant number, since it is smaller than the sum of its proper divisors (392076).

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

256572 is a wasteful number, since it uses less digits than its factorization.

256572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7137 (or 7132 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 256572 is about 506.5293673619. The cubic root of 256572 is about 63.5432982232.

It can be divided in two parts, 256 and 572, that added together give a palindrome (828).

The spelling of 256572 in words is "two hundred fifty-six thousand, five hundred seventy-two".