53736 has 16 divisors (see below), whose sum is σ = 134400. Its totient is φ = 17904.

The previous prime is 53731. The next prime is 53759. The reversal of 53736 is 63735.

53736 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 is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2239 = 53736 / (5 + 3 + 7 + 3 + 6).

It is not an unprimeable number, because it can be changed into a prime (53731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1096 + ... + 1143.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2⁵³⁷³⁶ is an apocalyptic number.

It is an amenable number.

53736 is an abundant number, since it is smaller than the sum of its proper divisors (80664).

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 (67200).

53736 is a wasteful number, since it uses less digits than its factorization.

53736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2244 counting only the distinct ones).

The product of its digits is 1890, while the sum is 24.

The square root of 53736 is about 231.8102672446. The cubic root of 53736 is about 37.7359347042.

Subtracting 53736 from its reverse (63735), we obtain a palindrome (9999).

It can be divided in two parts, 5 and 3736, that added together give a triangular number (3741 = T₈₆).

The spelling of 53736 in words is "fifty-three thousand, seven hundred thirty-six".