59352 has 16 divisors (see below), whose sum is σ = 148440. Its totient is φ = 19776.

The previous prime is 59351. The next prime is 59357. The reversal of 59352 is 25395.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2473 = 59352 / (5 + 9 + 3 + 5 + 2).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59352.

It is not an unprimeable number, because it can be changed into a prime (59351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1213 + ... + 1260.

2⁵⁹³⁵² is an apocalyptic number.

It is an amenable number.

59352 is an abundant number, since it is smaller than the sum of its proper divisors (89088).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74220).

59352 is a wasteful number, since it uses less digits than its factorization.

59352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2478 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 59352 is about 243.6226590447. The cubic root of 59352 is about 39.0072307435.

The spelling of 59352 in words is "fifty-nine thousand, three hundred fifty-two".