117072 has 40 divisors (see below), whose sum is σ = 337280. Its totient is φ = 38880.

The previous prime is 117071. The next prime is 117101. The reversal of 117072 is 270711.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117071) by changing a digit.

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, 297 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (8432).

2¹¹⁷⁰⁷² is an apocalyptic number.

117072 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 117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168640).

117072 is an abundant number, since it is smaller than the sum of its proper divisors (220208).

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

117072 is a wasteful number, since it uses less digits than its factorization.

117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 117072 is about 342.1578583052. The cubic root of 117072 is about 48.9197631734.

Adding to 117072 its reverse (270711), we get a palindrome (387783).

The spelling of 117072 in words is "one hundred seventeen thousand, seventy-two", and thus it is an iban number.