272256 has 32 divisors (see below), whose sum is σ = 724200. Its totient is φ = 90624.

The previous prime is 272249. The next prime is 272257. The reversal of 272256 is 652272.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁸ + 7 + 2¹¹ + 2¹⁸ + 5² + 6⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272257) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30 + ... + 738.

2²⁷²²⁵⁶ 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 272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362100).

272256 is an abundant number, since it is smaller than the sum of its proper divisors (451944).

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

272256 is an equidigital number, since it uses as much as digits as its factorization.

272256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 714 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 272256 is about 521.7815634919. The cubic root of 272256 is about 64.8125566278.

It can be divided in two parts, 272 and 256, that added together give a triangular number (528 = T₃₂).

The spelling of 272256 in words is "two hundred seventy-two thousand, two hundred fifty-six".