191881872 has 200 divisors, whose sum is σ = 683942336. Its totient is φ = 50575104.

The previous prime is 191881849. The next prime is 191881883. The reversal of 191881872 is 278188191.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117123 + ... + 118749.

Almost surely, 2^191881872 is an apocalyptic number.

191881872 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 191881872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341971168).

191881872 is an abundant number, since it is smaller than the sum of its proper divisors (492060464).

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

191881872 is a wasteful number, since it uses less digits than its factorization.

191881872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1652 counting only the distinct ones).

The product of its digits is 64512, while the sum is 45.

The square root of 191881872 is about 13852.1432276742. The cubic root of 191881872 is about 576.7814913110.

The spelling of 191881872 in words is "one hundred ninety-one million, eight hundred eighty-one thousand, eight hundred seventy-two".