117984672 has 72 divisors (see below), whose sum is σ = 361339524. Its totient is φ = 36301824.

The previous prime is 117984653. The next prime is 117984677. The reversal of 117984672 is 276489711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83832336 + 34152336 = 9156^2 + 5844^2 .

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

It is not an unprimeable number, because it can be changed into a prime (117984677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12013 + ... + 19500.

Almost surely, 2^117984672 is an apocalyptic number.

117984672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117984672 is an abundant number, since it is smaller than the sum of its proper divisors (243354852).

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

117984672 is a wasteful number, since it uses less digits than its factorization.

117984672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31542 (or 31531 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 117984672 is about 10862.0749398998. The cubic root of 117984672 is about 490.4655744309.

The spelling of 117984672 in words is "one hundred seventeen million, nine hundred eighty-four thousand, six hundred seventy-two".