73168 has 20 divisors (see below), whose sum is σ = 150660. Its totient is φ = 34304.

The previous prime is 73141. The next prime is 73181. The reversal of 73168 is 86137.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 44944 = 168^2 + 212^2 .

It is a congruent number.

It is an unprimeable number.

73168 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 3 ways as a sum of consecutive naturals, for example, 138 + ... + 406.

It is an arithmetic number, because the mean of its divisors is an integer number (7533).

2⁷³¹⁶⁸ 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 73168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75330).

73168 is an abundant number, since it is smaller than the sum of its proper divisors (77492).

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

73168 is a wasteful number, since it uses less digits than its factorization.

73168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 73168 is about 270.4958410031. The cubic root of 73168 is about 41.8254280850.

The spelling of 73168 in words is "seventy-three thousand, one hundred sixty-eight".