252739872 has 384 divisors, whose sum is σ = 958003200. Its totient is φ = 62899200.

The previous prime is 252739849. The next prime is 252739873. The reversal of 252739872 is 278937252.

252739872 is a `hidden beast` number, since 252 + 7 + 398 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (252739873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1929247 + ... + 1929377.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^252739872 is an apocalyptic number.

252739872 is a gapful number since it is divisible by the number (22) 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 252739872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479001600).

252739872 is an abundant number, since it is smaller than the sum of its proper divisors (705263328).

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

252739872 is a wasteful number, since it uses less digits than its factorization.

252739872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 252739872 is about 15897.7945640268. The cubic root of 252739872 is about 632.2535168362.

The spelling of 252739872 in words is "two hundred fifty-two million, seven hundred thirty-nine thousand, eight hundred seventy-two".