252872 has 16 divisors (see below), whose sum is σ = 481740. Its totient is φ = 124416.

The previous prime is 252869. The next prime is 252877. The reversal of 252872 is 278252.

252872 = T₁₃₃ + T₁₃₄ + ... + T₁₅₆.

It can be written as a sum of positive squares in 2 ways, for example, as 244036 + 8836 = 494^2 + 94^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2 + 5⁵ + 8³ + 2⁹ + 7⁶ + 2¹⁷ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252872.

It is not an unprimeable number, because it can be changed into a prime (252877) by changing a digit.

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, 368 + ... + 800.

2²⁵²⁸⁷² is an apocalyptic number.

It is an amenable number.

252872 is a deficient number, since it is larger than the sum of its proper divisors (228868).

252872 is a wasteful number, since it uses less digits than its factorization.

252872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 252872 is about 502.8637986573. The cubic root of 252872 is about 63.2363674682.

The spelling of 252872 in words is "two hundred fifty-two thousand, eight hundred seventy-two".