252972720 has 720 divisors, whose sum is σ = 1189423872. Its totient is φ = 48522240.

The previous prime is 252972701. The next prime is 252972721. The reversal of 252972720 is 27279252.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252972721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19459434 + ... + 19459446.

Almost surely, 2^252972720 is an apocalyptic number.

252972720 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 252972720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594711936).

252972720 is an abundant number, since it is smaller than the sum of its proper divisors (936451152).

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

252972720 is a wasteful number, since it uses less digits than its factorization.

252972720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 252972720 is about 15905.1161580166. The cubic root of 252972720 is about 632.4476212568.

The spelling of 252972720 in words is "two hundred fifty-two million, nine hundred seventy-two thousand, seven hundred twenty".