259272 has 48 divisors (see below), whose sum is σ = 758940. Its totient is φ = 79488.

The previous prime is 259271. The next prime is 259277. The reversal of 259272 is 272952.

It is a happy number.

259272 is a `hidden beast` number, since 2 + 592 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224676 + 34596 = 474^2 + 186^2 .

It is not an unprimeable number, because it can be changed into a prime (259271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798 + ... + 1074.

2²⁵⁹²⁷² 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 259272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379470).

259272 is an abundant number, since it is smaller than the sum of its proper divisors (499668).

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

259272 is a wasteful number, since it uses less digits than its factorization.

259272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 259272 is about 509.1875882227. The cubic root of 259272 is about 63.7654172631.

It can be divided in two parts, 2592 and 72, that multiplied together give a square (186624 = 432²).

The spelling of 259272 in words is "two hundred fifty-nine thousand, two hundred seventy-two".