252072 has 40 divisors (see below), whose sum is σ = 707850. Its totient is φ = 83808.

The previous prime is 252037. The next prime is 252079. The reversal of 252072 is 270252.

It is a happy number.

252072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 236196 + 15876 = 486^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (252079) by changing a digit.

252072 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 9 ways as a sum of consecutive naturals, for example, 454 + ... + 842.

2²⁵²⁰⁷² 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 252072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353925).

252072 is an abundant number, since it is smaller than the sum of its proper divisors (455778).

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

252072 is a wasteful number, since it uses less digits than its factorization.

252072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 252072 is about 502.0677245153. The cubic root of 252072 is about 63.1696109843.

The spelling of 252072 in words is "two hundred fifty-two thousand, seventy-two".