253572 has 48 divisors (see below), whose sum is σ = 689472. Its totient is φ = 71680.

The previous prime is 253567. The next prime is 253573. The reversal of 253572 is 275352.

It is not an unprimeable number, because it can be changed into a prime (253573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2188 + ... + 2300.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2²⁵³⁵⁷² is an apocalyptic number.

253572 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736).

253572 is an abundant number, since it is smaller than the sum of its proper divisors (435900).

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

253572 is a wasteful number, since it uses less digits than its factorization.

253572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 253572 is about 503.5593311617. The cubic root of 253572 is about 63.2946639907.

The spelling of 253572 in words is "two hundred fifty-three thousand, five hundred seventy-two".