56736 has 36 divisors (see below), whose sum is σ = 162162. Its totient is φ = 18816.

The previous prime is 56731. The next prime is 56737. The reversal of 56736 is 63765.

56736 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 24336 = 180^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 16.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (56731) by changing a digit.

56736 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 5 ways as a sum of consecutive naturals, for example, 190 + ... + 386.

2⁵⁶⁷³⁶ 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 56736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81081).

56736 is an abundant number, since it is smaller than the sum of its proper divisors (105426).

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

56736 is a wasteful number, since it uses less digits than its factorization.

56736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 56736 is about 238.1931988954. The cubic root of 56736 is about 38.4255038908.

Adding to 56736 its product of digits (3780), we get a square (60516 = 246²).

The spelling of 56736 in words is "fifty-six thousand, seven hundred thirty-six".