252627712 has 72 divisors (see below), whose sum is σ = 524286000. Its totient is φ = 121393152.

The previous prime is 252627703. The next prime is 252627719. The reversal of 252627712 is 217726252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (252627719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1411239 + ... + 1411417.

It is an arithmetic number, because the mean of its divisors is an integer number (7281750).

Almost surely, 2^252627712 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 252627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262143000).

252627712 is an abundant number, since it is smaller than the sum of its proper divisors (271658288).

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

252627712 is a wasteful number, since it uses less digits than its factorization.

252627712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its digits is 23520, while the sum is 34.

The square root of 252627712 is about 15894.2666392634. The cubic root of 252627712 is about 632.1599765934.

The spelling of 252627712 in words is "two hundred fifty-two million, six hundred twenty-seven thousand, seven hundred twelve".