256732 has 24 divisors (see below), whose sum is σ = 526176. Its totient is φ = 107328.

The previous prime is 256723. The next prime is 256757. The reversal of 256732 is 237652.

It is a super-2 number, since 2×256732² = 131822639648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256697 and 256706.

It is a congruent number.

It is an unprimeable number.

256732 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1398 + ... + 1570.

It is an arithmetic number, because the mean of its divisors is an integer number (21924).

2²⁵⁶⁷³² 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 256732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263088).

256732 is an abundant number, since it is smaller than the sum of its proper divisors (269444).

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

256732 is a wasteful number, since it uses less digits than its factorization.

256732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 256732 is about 506.6872802824. The cubic root of 256732 is about 63.5565041525.

The spelling of 256732 in words is "two hundred fifty-six thousand, seven hundred thirty-two".