252736 has 28 divisors (see below), whose sum is σ = 548640. Its totient is φ = 114560.

The previous prime is 252731. The next prime is 252737. The reversal of 252736 is 637252.

252736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 252736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252731) by changing a digit.

252736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 525 + ... + 883.

2²⁵²⁷³⁶ 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 252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274320).

252736 is an abundant number, since it is smaller than the sum of its proper divisors (295904).

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

252736 is a wasteful number, since it uses less digits than its factorization.

252736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 252736 is about 502.7285549877. The cubic root of 252736 is about 63.2250288091.

Adding to 252736 its reverse (637252), we get a palindrome (889988).

The spelling of 252736 in words is "two hundred fifty-two thousand, seven hundred thirty-six".