116172 has 36 divisors (see below), whose sum is σ = 336336. Its totient is φ = 33120.

The previous prime is 116167. The next prime is 116177. The reversal of 116172 is 271611.

It is an interprime number because it is at equal distance from previous prime (116167) and next prime (116177).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (116177) by changing a digit.

116172 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 11 ways as a sum of consecutive naturals, for example, 22 + ... + 482.

2¹¹⁶¹⁷² is an apocalyptic number.

116172 is a gapful number since it is divisible by the number (12) 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 116172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168168).

116172 is an abundant number, since it is smaller than the sum of its proper divisors (220164).

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

116172 is a wasteful number, since it uses less digits than its factorization.

116172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 116172 is about 340.8401384814. The cubic root of 116172 is about 48.7940824142.

Adding to 116172 its reverse (271611), we get a palindrome (387783).

The spelling of 116172 in words is "one hundred sixteen thousand, one hundred seventy-two".