117239200 has 72 divisors (see below), whose sum is σ = 308253708. Its totient is φ = 43284480.

The previous prime is 117239189. The next prime is 117239263. The reversal of 117239200 is 2932711.

It can be written as a sum of positive squares in 6 ways, for example, as 11478544 + 105760656 = 3388^2 + 10284^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4764 + ... + 16036.

Almost surely, 2^117239200 is an apocalyptic number.

117239200 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 117239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154126854).

117239200 is an abundant number, since it is smaller than the sum of its proper divisors (191014508).

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

117239200 is a wasteful number, since it uses less digits than its factorization.

117239200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11306 (or 11293 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 117239200 is about 10827.7052047052. The cubic root of 117239200 is about 489.4304085328.

The spelling of 117239200 in words is "one hundred seventeen million, two hundred thirty-nine thousand, two hundred".