252672165 has 48 divisors (see below), whose sum is σ = 475937280. Its totient is φ = 123534720.

The previous prime is 252672163. The next prime is 252672239. The reversal of 252672165 is 561276252.

252672165 is a `hidden beast` number, since 2 + 526 + 72 + 1 + 65 = 666.

It is not a de Polignac number, because 252672165 - 2¹ = 252672163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252672163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21739 + ... + 31271.

It is an arithmetic number, because the mean of its divisors is an integer number (9915360).

Almost surely, 2^252672165 is an apocalyptic number.

It is an amenable number.

252672165 is a deficient number, since it is larger than the sum of its proper divisors (223265115).

252672165 is a wasteful number, since it uses less digits than its factorization.

252672165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9594 (or 9591 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 252672165 is about 15895.6649750805. The cubic root of 252672165 is about 632.1970532322.

It can be divided in two parts, 2526 and 72165, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 252672165 in words is "two hundred fifty-two million, six hundred seventy-two thousand, one hundred sixty-five".