117214272 has 126 divisors (see below), whose sum is σ = 390920478. Its totient is φ = 33481728.

The previous prime is 117214267. The next prime is 117214283. The reversal of 117214272 is 272412711.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 52186176 = 8064^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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 unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26148 + ... + 30300.

Almost surely, 2^117214272 is an apocalyptic number.

117214272 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 117214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195460239).

117214272 is an abundant number, since it is smaller than the sum of its proper divisors (273706206).

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

117214272 is a wasteful number, since it uses less digits than its factorization.

117214272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4165 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 117214272 is about 10826.5540224025. The cubic root of 117214272 is about 489.3957176727.

Adding to 117214272 its reverse (272412711), we get a palindrome (389626983).

The spelling of 117214272 in words is "one hundred seventeen million, two hundred fourteen thousand, two hundred seventy-two".