32736 has 48 divisors (see below), whose sum is σ = 96768. Its totient is φ = 9600.

The previous prime is 32719. The next prime is 32749. The reversal of 32736 is 63723.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

32736 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 7 ways as a sum of consecutive naturals, for example, 1041 + ... + 1071.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

2³²⁷³⁶ 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 32736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

32736 is an abundant number, since it is smaller than the sum of its proper divisors (64032).

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

32736 is a wasteful number, since it uses less digits than its factorization.

32736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 47 counting only the distinct ones).

The product of its digits is 756, while the sum is 21.

The square root of 32736 is about 180.9309260464. The cubic root of 32736 is about 31.9895799407.

It can be divided in two parts, 327 and 36, that added together give a palindrome (363).

The spelling of 32736 in words is "thirty-two thousand, seven hundred thirty-six".