11752 has 16 divisors (see below), whose sum is σ = 23940. Its totient is φ = 5376.

The previous prime is 11743. The next prime is 11777. The reversal of 11752 is 25711.

It can be written as a sum of positive squares in 2 ways, for example, as 8836 + 2916 = 94^2 + 54^2 .

11752 is an undulating number in base 15.

It is an unprimeable number.

11752 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, 48 + ... + 160.

2¹¹⁷⁵² 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 11752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970).

11752 is an abundant number, since it is smaller than the sum of its proper divisors (12188).

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

11752 is a wasteful number, since it uses less digits than its factorization.

11752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its digits is 70, while the sum is 16.

The square root of 11752 is about 108.4066418629. The cubic root of 11752 is about 22.7354695282.

It can be divided in two parts, 117 and 52, that multiplied together give a square (6084 = 78²).

The spelling of 11752 in words is "eleven thousand, seven hundred fifty-two".