52704 has 48 divisors (see below), whose sum is σ = 156240. Its totient is φ = 17280.

The previous prime is 52697. The next prime is 52709. The reversal of 52704 is 40725.

It is a happy number.

52704 is nontrivially palindromic in base 11.

52704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 5⁵ + 2¹⁵ + 7⁵ + 0 + 4 .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52709) by changing a digit.

52704 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, 834 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2⁵²⁷⁰⁴ is an apocalyptic number.

52704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

52704 is an abundant number, since it is smaller than the sum of its proper divisors (103536).

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

52704 is a wasteful number, since it uses less digits than its factorization.

52704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 52704 is about 229.5735176365. The cubic root of 52704 is about 37.4927986172.

The spelling of 52704 in words is "fifty-two thousand, seven hundred four".