12752 has 10 divisors (see below), whose sum is σ = 24738. Its totient is φ = 6368.

The previous prime is 12743. The next prime is 12757. The reversal of 12752 is 25721.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 1936 = 104^2 + 44^2 .

It is a super-2 number, since 2×12752² = 325227008, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 12752.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12752.

It is not an unprimeable number, because it can be changed into a prime (12757) by changing a digit.

12752 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 as a sum of consecutive naturals, namely, 383 + ... + 414.

2¹²⁷⁵² is an apocalyptic number.

It is an amenable number.

12752 is a deficient number, since it is larger than the sum of its proper divisors (11986).

12752 is an equidigital number, since it uses as much as digits as its factorization.

12752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 799 counting only the distinct ones).

The product of its digits is 140, while the sum is 17.

The square root of 12752 is about 112.9247537079. The cubic root of 12752 is about 23.3628651018.

Adding to 12752 its sum of digits (17), we get a square (12769 = 113²).

The spelling of 12752 in words is "twelve thousand, seven hundred fifty-two".