252772 has 12 divisors (see below), whose sum is σ = 476476. Its totient is φ = 116640.

The previous prime is 252767. The next prime is 252779. The reversal of 252772 is 277252.

It can be written as a sum of positive squares in 2 ways, for example, as 139876 + 112896 = 374^2 + 336^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (252779) by changing a digit.

252772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2379 + ... + 2482.

2²⁵²⁷⁷² is an apocalyptic number.

It is an amenable number.

252772 is a deficient number, since it is larger than the sum of its proper divisors (223704).

252772 is a wasteful number, since it uses less digits than its factorization.

252772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4876 counting only the distinct ones).

The product of its digits is 1960, while the sum is 25.

The square root of 252772 is about 502.7643583231. The cubic root of 252772 is about 63.2280306146.

It can be divided in two parts, 252 and 772, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 252772 in words is "two hundred fifty-two thousand, seven hundred seventy-two".