117582192 has 200 divisors, whose sum is σ = 419271776. Its totient is φ = 30979584.

The previous prime is 117582191. The next prime is 117582209. The reversal of 117582192 is 291285711.

It is a happy number.

It is a super-3 number, since 3×117582192³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117582191) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117438 + ... + 118434.

Almost surely, 2^117582192 is an apocalyptic number.

117582192 is a gapful number since it is divisible by the number (12) 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 117582192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209635888).

117582192 is an abundant number, since it is smaller than the sum of its proper divisors (301689584).

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

117582192 is a wasteful number, since it uses less digits than its factorization.

117582192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1022 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 117582192 is about 10843.5322658256. The cubic root of 117582192 is about 489.9072321952.

The spelling of 117582192 in words is "one hundred seventeen million, five hundred eighty-two thousand, one hundred ninety-two".