252715023072 has 288 divisors, whose sum is σ = 771891120000. Its totient is φ = 78192221184.

The previous prime is 252715023007. The next prime is 252715023103. The reversal of 252715023072 is 270320517252.

252715023072 is a `hidden beast` number, since 2 + 52 + 7 + 1 + 502 + 30 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72223179 + ... + 72226677.

It is an arithmetic number, because the mean of its divisors is an integer number (2680177500).

Almost surely, 2^252715023072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252715023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385945560000).

252715023072 is an abundant number, since it is smaller than the sum of its proper divisors (519176096928).

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

252715023072 is a wasteful number, since it uses less digits than its factorization.

252715023072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 252715023072 in words is "two hundred fifty-two billion, seven hundred fifteen million, twenty-three thousand, seventy-two".