117172800 has 252 divisors, whose sum is σ = 425825920. Its totient is φ = 30551040.

The previous prime is 117172733. The next prime is 117172813. The reversal of 117172800 is 8271711.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1137549 + ... + 1137651.

Almost surely, 2^117172800 is an apocalyptic number.

117172800 is a gapful number since it is divisible by the number (10) 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 117172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212912960).

117172800 is an abundant number, since it is smaller than the sum of its proper divisors (308653120).

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

117172800 is a wasteful number, since it uses less digits than its factorization.

117172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 117172800 is about 10824.6385620953. The cubic root of 117172800 is about 489.3379925823.

The spelling of 117172800 in words is "one hundred seventeen million, one hundred seventy-two thousand, eight hundred".