256752 has 30 divisors (see below), whose sum is σ = 718952. Its totient is φ = 85536.

The previous prime is 256723. The next prime is 256757. The reversal of 256752 is 257652.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256757) by changing a digit.

256752 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, 748 + ... + 1035.

2²⁵⁶⁷⁵² is an apocalyptic number.

It is an amenable number.

256752 is an abundant number, since it is smaller than the sum of its proper divisors (462200).

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

256752 is a wasteful number, since it uses less digits than its factorization.

256752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1788 counting only the distinct ones).

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

The square root of 256752 is about 506.7070159372. The cubic root of 256752 is about 63.5581545078.

Subtracting 256752 from its reverse (257652), we obtain a square (900 = 30²).

The spelling of 256752 in words is "two hundred fifty-six thousand, seven hundred fifty-two".