52736 has 20 divisors (see below), whose sum is σ = 106392. Its totient is φ = 26112.

The previous prime is 52733. The next prime is 52747. The reversal of 52736 is 63725.

Its product of digits (1260) is a multiple of the sum of its prime divisors (105).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 461 + ... + 563.

2⁵²⁷³⁶ 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 52736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53196).

52736 is an abundant number, since it is smaller than the sum of its proper divisors (53656).

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

52736 is an equidigital number, since it uses as much as digits as its factorization.

52736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 52736 is about 229.6432015105. The cubic root of 52736 is about 37.5003851812.

The spelling of 52736 in words is "fifty-two thousand, seven hundred thirty-six".