252114720 has 192 divisors, whose sum is σ = 933254784. Its totient is φ = 56401920.

The previous prime is 252114713. The next prime is 252114749. The reversal of 252114720 is 27411252.

252114720 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 66804 + ... + 70476.

It is an arithmetic number, because the mean of its divisors is an integer number (4860702).

Almost surely, 2^252114720 is an apocalyptic number.

252114720 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 252114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466627392).

252114720 is an abundant number, since it is smaller than the sum of its proper divisors (681140064).

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

252114720 is a wasteful number, since it uses less digits than its factorization.

252114720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3707 counting only the distinct ones).

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

The square root of 252114720 is about 15878.1207956105. The cubic root of 252114720 is about 631.7317934751.

Adding to 252114720 its reverse (27411252), we get a palindrome (279525972).

The spelling of 252114720 in words is "two hundred fifty-two million, one hundred fourteen thousand, seven hundred twenty".