118272 has 80 divisors (see below), whose sum is σ = 392832. Its totient is φ = 30720.

The previous prime is 118259. The next prime is 118273. The reversal of 118272 is 272811.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10747 + ... + 10757.

118272 is a Friedman number, since it can be written as 2112*8*7, using all its digits and the basic arithmetic operations.

2¹¹⁸²⁷² is an apocalyptic number.

118272 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 118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416).

118272 is an abundant number, since it is smaller than the sum of its proper divisors (274560).

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

118272 is an equidigital number, since it uses as much as digits as its factorization.

118272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 23 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 118272 is about 343.9069641633. The cubic root of 118272 is about 49.0863395173.

118272 divided by its product of digits (224) gives a triangular number (528 = T₃₂).

The spelling of 118272 in words is "one hundred eighteen thousand, two hundred seventy-two".