111691872 has 120 divisors (see below), whose sum is σ = 336814632. Its totient is φ = 36288000.

The previous prime is 111691849. The next prime is 111691873. The reversal of 111691872 is 278196111.

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 (111691873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105747 + ... + 106797.

Almost surely, 2^111691872 is an apocalyptic number.

111691872 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 111691872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168407316).

111691872 is an abundant number, since it is smaller than the sum of its proper divisors (225122760).

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

111691872 is a wasteful number, since it uses less digits than its factorization.

111691872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1097 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 111691872 is about 10568.4375382551. The cubic root of 111691872 is about 481.5860037948.

It can be divided in two parts, 11169 and 1872, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 111691872 in words is "one hundred eleven million, six hundred ninety-one thousand, eight hundred seventy-two".