116671872 has 64 divisors (see below), whose sum is σ = 320626800. Its totient is φ = 37545984.

The previous prime is 116671829. The next prime is 116671883. The reversal of 116671872 is 278176611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×116671872² = 27224651431968768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116671872.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5898 + ... + 16374.

Almost surely, 2^116671872 is an apocalyptic number.

116671872 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 116671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160313400).

116671872 is an abundant number, since it is smaller than the sum of its proper divisors (203954928).

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

116671872 is a wasteful number, since it uses less digits than its factorization.

116671872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10523 (or 10511 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 116671872 is about 10801.4754547701. The cubic root of 116671872 is about 488.6396699786.

The spelling of 116671872 in words is "one hundred sixteen million, six hundred seventy-one thousand, eight hundred seventy-two".