252672 has 72 divisors (see below), whose sum is σ = 784896. Its totient is φ = 70656.

The previous prime is 252667. The next prime is 252691. The reversal of 252672 is 276252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2 + 5⁷ + 6⁶ + 2¹¹ + 7⁶ + 2¹³ .

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5353 + ... + 5399.

2²⁵²⁶⁷² 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 252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392448).

252672 is an abundant number, since it is smaller than the sum of its proper divisors (532224).

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

252672 is an equidigital number, since it uses as much as digits as its factorization.

252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 252672 is about 502.6648983170. The cubic root of 252672 is about 63.2196915620.

The spelling of 252672 in words is "two hundred fifty-two thousand, six hundred seventy-two".