5736 has 16 divisors (see below), whose sum is σ = 14400. Its totient is φ = 1904.

The previous prime is 5717. The next prime is 5737. The reversal of 5736 is 6375.

5736 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a plaindrome in base 16.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5737) by changing a digit.

5736 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, 96 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

2⁵⁷³⁶ is an apocalyptic number.

It is an amenable number.

5736 is an abundant number, since it is smaller than the sum of its proper divisors (8664).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200).

5736 is a wasteful number, since it uses less digits than its factorization.

5736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 5736 is about 75.7363849150. The cubic root of 5736 is about 17.9006876342.

It can be divided in two parts, 5 and 736, that added together give a triangular number (741 = T₃₈).

The spelling of 5736 in words is "five thousand, seven hundred thirty-six".