111891072 has 64 divisors (see below), whose sum is σ = 301716000. Its totient is φ = 36731904.

The previous prime is 111891053. The next prime is 111891079. The reversal of 111891072 is 270198111.

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

It is a super-2 number, since 2×111891072² = 25039223986618368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111891079) 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 7 ways as a sum of consecutive naturals, for example, 23554 + ... + 27902.

Almost surely, 2^111891072 is an apocalyptic number.

111891072 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 111891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150858000).

111891072 is an abundant number, since it is smaller than the sum of its proper divisors (189824928).

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

111891072 is an equidigital number, since it uses as much as digits as its factorization.

111891072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 30.

The square root of 111891072 is about 10577.8576280833. The cubic root of 111891072 is about 481.8721331131.

The spelling of 111891072 in words is "one hundred eleven million, eight hundred ninety-one thousand, seventy-two".