117352000 has 56 divisors (see below), whose sum is σ = 290642040. Its totient is φ = 46937600.

The previous prime is 117351977. The next prime is 117352007. The reversal of 117352000 is 253711.

It can be written as a sum of positive squares in 4 ways, for example, as 2262016 + 115089984 = 1504^2 + 10728^2 .

It is not an unprimeable number, because it can be changed into a prime (117352007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666 + ... + 15334.

Almost surely, 2^117352000 is an apocalyptic number.

117352000 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 117352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145321020).

117352000 is an abundant number, since it is smaller than the sum of its proper divisors (173290040).

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

117352000 is an equidigital number, since it uses as much as digits as its factorization.

117352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14696 (or 14676 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 117352000 is about 10832.9128123511. The cubic root of 117352000 is about 489.5873243475.

The spelling of 117352000 in words is "one hundred seventeen million, three hundred fifty-two thousand".