117216 has 72 divisors (see below), whose sum is σ = 373464. Its totient is φ = 34560.

The previous prime is 117209. The next prime is 117223. The reversal of 117216 is 612711.

It is an interprime number because it is at equal distance from previous prime (117209) and next prime (117223).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

117216 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, 3150 + ... + 3186.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2¹¹⁷²¹⁶ is an apocalyptic number.

117216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117216 is the 198-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732).

117216 is an abundant number, since it is smaller than the sum of its proper divisors (256248).

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

117216 is a wasteful number, since it uses less digits than its factorization.

117216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

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

The square root of 117216 is about 342.3682228245. The cubic root of 117216 is about 48.9398122589.

Adding to 117216 its reverse (612711), we get a palindrome (729927).

It can be divided in two parts, 117 and 216, that added together give a palindrome (333).

The spelling of 117216 in words is "one hundred seventeen thousand, two hundred sixteen".