252172320 has 48 divisors (see below), whose sum is σ = 794344320. Its totient is φ = 67245824.

The previous prime is 252172289. The next prime is 252172363. The reversal of 252172320 is 23271252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262200 + ... + 263159.

It is an arithmetic number, because the mean of its divisors is an integer number (16548840).

Almost surely, 2^252172320 is an apocalyptic number.

252172320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252172320 is an abundant number, since it is smaller than the sum of its proper divisors (542172000).

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

252172320 is a wasteful number, since it uses less digits than its factorization.

252172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525377 (or 525369 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 252172320 is about 15879.9345086811. The cubic root of 252172320 is about 631.7798998564.

The spelling of 252172320 in words is "two hundred fifty-two million, one hundred seventy-two thousand, three hundred twenty".