253672 has 16 divisors (see below), whose sum is σ = 489060. Its totient is φ = 123264.

The previous prime is 253661. The next prime is 253679. The reversal of 253672 is 276352.

253672 = T₄₃ + T₄₄ + ... + T₁₁₆.

It can be written as a sum of positive squares in 2 ways, for example, as 198916 + 54756 = 446^2 + 234^2 .

It is not an unprimeable number, because it can be changed into a prime (253679) by changing a digit.

253672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133 + ... + 724.

2²⁵³⁶⁷² is an apocalyptic number.

It is an amenable number.

253672 is a deficient number, since it is larger than the sum of its proper divisors (235388).

253672 is a wasteful number, since it uses less digits than its factorization.

253672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 896 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 253672 is about 503.6586145397. The cubic root of 253672 is about 63.3029833037.

Subtracting from 253672 its product of digits (2520), we obtain a palindrome (251152).

The spelling of 253672 in words is "two hundred fifty-three thousand, six hundred seventy-two".