252118720 has 112 divisors (see below), whose sum is σ = 700430400. Its totient is φ = 86403072.

The previous prime is 252118697. The next prime is 252118723. The reversal of 252118720 is 27811252.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (252118723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108612 + ... + 110908.

Almost surely, 2^252118720 is an apocalyptic number.

252118720 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 252118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350215200).

252118720 is an abundant number, since it is smaller than the sum of its proper divisors (448311680).

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

252118720 is an equidigital number, since it uses as much as digits as its factorization.

252118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 252118720 is about 15878.2467546011. The cubic root of 252118720 is about 631.7351344328.

Adding to 252118720 its reverse (27811252), we get a palindrome (279929972).

The spelling of 252118720 in words is "two hundred fifty-two million, one hundred eighteen thousand, seven hundred twenty".