253872 has 60 divisors (see below), whose sum is σ = 744744. Its totient is φ = 80640.

The previous prime is 253871. The next prime is 253879. The reversal of 253872 is 278352.

It is not an unprimeable number, because it can be changed into a prime (253871) 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, 5883 + ... + 5925.

2²⁵³⁸⁷² 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 253872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372372).

253872 is an abundant number, since it is smaller than the sum of its proper divisors (490872).

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

253872 is a wasteful number, since it uses less digits than its factorization.

253872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 253872 is about 503.8571226052. The cubic root of 253872 is about 63.3196153730.

The spelling of 253872 in words is "two hundred fifty-three thousand, eight hundred seventy-two".