117016872 has 64 divisors (see below), whose sum is σ = 336806400. Its totient is φ = 33186240.

The previous prime is 117016871. The next prime is 117016873. The reversal of 117016872 is 278610711.

It is an interprime number because it is at equal distance from previous prime (117016871) and next prime (117016873).

It is not an unprimeable number, because it can be changed into a prime (117016871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20847 + ... + 25857.

It is an arithmetic number, because the mean of its divisors is an integer number (5262600).

Almost surely, 2^117016872 is an apocalyptic number.

117016872 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 117016872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168403200).

117016872 is an abundant number, since it is smaller than the sum of its proper divisors (219789528).

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

117016872 is a wasteful number, since it uses less digits than its factorization.

117016872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

The square root of 117016872 is about 10817.4337067532. The cubic root of 117016872 is about 489.1208336350.

The spelling of 117016872 in words is "one hundred seventeen million, sixteen thousand, eight hundred seventy-two".