65352 has 32 divisors (see below), whose sum is σ = 187200. Its totient is φ = 18624.

The previous prime is 65327. The next prime is 65353. The reversal of 65352 is 25356.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (65353) by changing a digit.

65352 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, 27 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

2⁶⁵³⁵² 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 65352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93600).

65352 is an abundant number, since it is smaller than the sum of its proper divisors (121848).

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

65352 is a wasteful number, since it uses less digits than its factorization.

65352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 65352 is about 255.6403723984. The cubic root of 65352 is about 40.2797062185.

The spelling of 65352 in words is "sixty-five thousand, three hundred fifty-two".