252610272 has 96 divisors (see below), whose sum is σ = 749014560. Its totient is φ = 82805760.

The previous prime is 252610229. The next prime is 252610273. The reversal of 252610272 is 272016252.

252610272 is a `hidden beast` number, since 25 + 2 + 610 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252610273) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50308 + ... + 55100.

It is an arithmetic number, because the mean of its divisors is an integer number (7802235).

Almost surely, 2^252610272 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 252610272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374507280).

252610272 is an abundant number, since it is smaller than the sum of its proper divisors (496404288).

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

252610272 is a wasteful number, since it uses less digits than its factorization.

252610272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 252610272 is about 15893.7180042934. The cubic root of 252610272 is about 632.1454293325.

The spelling of 252610272 in words is "two hundred fifty-two million, six hundred ten thousand, two hundred seventy-two".