111427872 has 96 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 35969280.

The previous prime is 111427871. The next prime is 111427891. The reversal of 111427872 is 278724111.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (111427871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583297 + ... + 583487.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^111427872 is an apocalyptic number.

111427872 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 111427872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

111427872 is an abundant number, since it is smaller than the sum of its proper divisors (190488288).

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

111427872 is a wasteful number, since it uses less digits than its factorization.

111427872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 111427872 is about 10555.9401286669. The cubic root of 111427872 is about 481.2062715763.

The spelling of 111427872 in words is "one hundred eleven million, four hundred twenty-seven thousand, eight hundred seventy-two".