68052 has 24 divisors (see below), whose sum is σ = 163296. Its totient is φ = 22048.

The previous prime is 68041. The next prime is 68053. The reversal of 68052 is 25086.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68053) by changing a digit.

68052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2⁶⁸⁰⁵² is an apocalyptic number.

It is an amenable number.

68052 is an abundant number, since it is smaller than the sum of its proper divisors (95244).

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 (81648).

68052 is a wasteful number, since it uses less digits than its factorization.

68052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 68052 is about 260.8677826026. The cubic root of 68052 is about 40.8269525871.

The spelling of 68052 in words is "sixty-eight thousand, fifty-two".