252116172 has 288 divisors, whose sum is σ = 854945280. Its totient is φ = 63504000.

The previous prime is 252116153. The next prime is 252116201. The reversal of 252116172 is 271611252.

252116172 is a `hidden beast` number, since 25 + 21 + 1 + 617 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3550897 + ... + 3550967.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^252116172 is an apocalyptic number.

252116172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252116172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

252116172 is an abundant number, since it is smaller than the sum of its proper divisors (602829108).

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

252116172 is a wasteful number, since it uses less digits than its factorization.

252116172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 252116172 is about 15878.1665188396. The cubic root of 252116172 is about 631.7330062468.

The spelling of 252116172 in words is "two hundred fifty-two million, one hundred sixteen thousand, one hundred seventy-two".