117478872 has 192 divisors, whose sum is σ = 381888000. Its totient is φ = 32598720.

The previous prime is 117478859. The next prime is 117478877. The reversal of 117478872 is 278874711.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117478877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1654597 + ... + 1654667.

It is an arithmetic number, because the mean of its divisors is an integer number (1989000).

Almost surely, 2^117478872 is an apocalyptic number.

117478872 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 117478872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

117478872 is an abundant number, since it is smaller than the sum of its proper divisors (264409128).

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

117478872 is a wasteful number, since it uses less digits than its factorization.

117478872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its digits is 175616, while the sum is 45.

The square root of 117478872 is about 10838.7670885576. The cubic root of 117478872 is about 489.7636955834.

The spelling of 117478872 in words is "one hundred seventeen million, four hundred seventy-eight thousand, eight hundred seventy-two".