117715200 has 108 divisors (see below), whose sum is σ = 388548048. Its totient is φ = 31385600.

The previous prime is 117715189. The next prime is 117715211. The reversal of 117715200 is 2517711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117715189) and next prime (117715211).

It is a super-2 number, since 2×117715200² = 27713736622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16135 + ... + 22265.

Almost surely, 2^117715200 is an apocalyptic number.

117715200 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 117715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194274024).

117715200 is an abundant number, since it is smaller than the sum of its proper divisors (270832848).

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

117715200 is an equidigital number, since it uses as much as digits as its factorization.

117715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 117715200 is about 10849.6635892547. The cubic root of 117715200 is about 490.0918889174.

The spelling of 117715200 in words is "one hundred seventeen million, seven hundred fifteen thousand, two hundred".