252172140 has 96 divisors (see below), whose sum is σ = 789143040. Its totient is φ = 59635200.

The previous prime is 252172117. The next prime is 252172147. The reversal of 252172140 is 41271252.

252172140 = 2460² + 2461² + ... + 2500².

252172140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252172140.

It is not an unprimeable number, because it can be changed into a prime (252172147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22401 + ... + 31719.

It is an arithmetic number, because the mean of its divisors is an integer number (8220240).

Almost surely, 2^252172140 is an apocalyptic number.

252172140 is a gapful number since it is divisible by the number (20) 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 252172140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394571520).

252172140 is an abundant number, since it is smaller than the sum of its proper divisors (536970900).

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

252172140 is a wasteful number, since it uses less digits than its factorization.

252172140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9383 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 252172140 is about 15879.9288411504. The cubic root of 252172140 is about 631.7797495353.

The spelling of 252172140 in words is "two hundred fifty-two million, one hundred seventy-two thousand, one hundred forty".