52740 has 36 divisors (see below), whose sum is σ = 160524. Its totient is φ = 14016.

The previous prime is 52733. The next prime is 52747. The reversal of 52740 is 4725.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52733) and next prime (52747).

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 15876 = 192^2 + 126^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (52747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (4459).

2⁵²⁷⁴⁰ 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 52740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80262).

52740 is an abundant number, since it is smaller than the sum of its proper divisors (107784).

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

52740 is a wasteful number, since it uses less digits than its factorization.

52740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

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

The square root of 52740 is about 229.6519105081. The cubic root of 52740 is about 37.5013332859.

The spelling of 52740 in words is "fifty-two thousand, seven hundred forty".