68352 has 36 divisors (see below), whose sum is σ = 183960. Its totient is φ = 22528.

The previous prime is 68351. The next prime is 68371. The reversal of 68352 is 25386.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (68351) 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, 724 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (5110).

2⁶⁸³⁵² 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 68352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91980).

68352 is an abundant number, since it is smaller than the sum of its proper divisors (115608).

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

68352 is an equidigital number, since it uses as much as digits as its factorization.

68352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 68352 is about 261.4421542139. The cubic root of 68352 is about 40.8868584023.

The spelling of 68352 in words is "sixty-eight thousand, three hundred fifty-two".