252972 has 18 divisors (see below), whose sum is σ = 639548. Its totient is φ = 84312.

The previous prime is 252971. The next prime is 252979. The reversal of 252972 is 279252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

252972 is a modest number, since divided by 972 gives 252 as remainder.

It is not an unprimeable number, because it can be changed into a prime (252971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3478 + ... + 3549.

2²⁵²⁹⁷² is an apocalyptic number.

It is an amenable number.

252972 is an abundant number, since it is smaller than the sum of its proper divisors (386576).

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

252972 is a wasteful number, since it uses less digits than its factorization.

252972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7037 (or 7032 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 252972 is about 502.9632193312. The cubic root of 252972 is about 63.2447021241.

It can be divided in two parts, 2529 and 72, that added together give a square (2601 = 51²).

The spelling of 252972 in words is "two hundred fifty-two thousand, nine hundred seventy-two".