253272 has 32 divisors (see below), whose sum is σ = 647280. Its totient is φ = 82560.

The previous prime is 253247. The next prime is 253273. The reversal of 253272 is 272352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253273) by changing a digit.

253272 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 7 ways as a sum of consecutive naturals, for example, 1378 + ... + 1550.

2²⁵³²⁷² 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 253272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323640).

253272 is an abundant number, since it is smaller than the sum of its proper divisors (394008).

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

253272 is a wasteful number, since it uses less digits than its factorization.

253272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 253272 is about 503.2613635081. The cubic root of 253272 is about 63.2696929207.

It can be divided in two parts, 253 and 272, that added together give a palindrome (525).

The spelling of 253272 in words is "two hundred fifty-three thousand, two hundred seventy-two".