172368 has 100 divisors (see below), whose sum is σ = 600160. Its totient is φ = 46656.

The previous prime is 172357. The next prime is 172373. The reversal of 172368 is 863271.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an unprimeable number.

172368 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 19 ways as a sum of consecutive naturals, for example, 9063 + ... + 9081.

2¹⁷²³⁶⁸ is an apocalyptic number.

172368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300080).

172368 is an abundant number, since it is smaller than the sum of its proper divisors (427792).

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

172368 is a wasteful number, since it uses less digits than its factorization.

172368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 31 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 172368 is about 415.1722534081. The cubic root of 172368 is about 55.6526113813.

The spelling of 172368 in words is "one hundred seventy-two thousand, three hundred sixty-eight".