11736 has 24 divisors (see below), whose sum is σ = 31980. Its totient is φ = 3888.

The previous prime is 11731. The next prime is 11743. The reversal of 11736 is 63711.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11731) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10 + ... + 153.

2¹¹⁷³⁶ 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 11736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990).

11736 is an abundant number, since it is smaller than the sum of its proper divisors (20244).

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

11736 is a wasteful number, since it uses less digits than its factorization.

11736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 11736 is about 108.3328205116. The cubic root of 11736 is about 22.7251469527.

It can be divided in two parts, 117 and 36, that added together give a triangular number (153 = T₁₇).

The spelling of 11736 in words is "eleven thousand, seven hundred thirty-six".