52360 has 64 divisors (see below), whose sum is σ = 155520. Its totient is φ = 15360.

The previous prime is 52321. The next prime is 52361. The reversal of 52360 is 6325.

52360 is a nontrivial binomial coefficient, being equal to C(35, 4).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (52361) by changing a digit.

52360 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 15 ways as a sum of consecutive naturals, for example, 3072 + ... + 3088.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

2⁵²³⁶⁰ is an apocalyptic number.

52360 is the 187-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

52360 is an abundant number, since it is smaller than the sum of its proper divisors (103160).

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

52360 is a wasteful number, since it uses less digits than its factorization.

52360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 52360 is about 228.8230757594. The cubic root of 52360 is about 37.4110484292.

Adding to 52360 its reverse (6325), we get a palindrome (58685).

The spelling of 52360 in words is "fifty-two thousand, three hundred sixty".