252372120 has 384 divisors, whose sum is σ = 1029611520. Its totient is φ = 48153600.

The previous prime is 252372083. The next prime is 252372137. The reversal of 252372120 is 21273252.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1321225 + ... + 1321415.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^252372120 is an apocalyptic number.

252372120 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 252372120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514805760).

252372120 is an abundant number, since it is smaller than the sum of its proper divisors (777239400).

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

252372120 is a wasteful number, since it uses less digits than its factorization.

252372120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

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

The square root of 252372120 is about 15886.2242210036. The cubic root of 252372120 is about 631.9467121123.

The spelling of 252372120 in words is "two hundred fifty-two million, three hundred seventy-two thousand, one hundred twenty".