117325728 has 72 divisors (see below), whose sum is σ = 359321508. Its totient is φ = 36099072.

The previous prime is 117325727. The next prime is 117325751. The reversal of 117325728 is 827523711.

117325728 is a `hidden beast` number, since 11 + 73 + 2 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116380944 + 944784 = 10788^2 + 972^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 117325692 and 117325701.

It is not an unprimeable number, because it can be changed into a prime (117325727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11925 + ... + 19412.

Almost surely, 2^117325728 is an apocalyptic number.

117325728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117325728 is an abundant number, since it is smaller than the sum of its proper divisors (241995780).

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

117325728 is a wasteful number, since it uses less digits than its factorization.

117325728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31366 (or 31355 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 117325728 is about 10831.7001435601. The cubic root of 117325728 is about 489.5507864156.

The spelling of 117325728 in words is "one hundred seventeen million, three hundred twenty-five thousand, seven hundred twenty-eight".