111367872 has 392 divisors, whose sum is σ = 426427392. Its totient is φ = 27993600.

The previous prime is 111367871. The next prime is 111367889. The reversal of 111367872 is 278763111.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (111367871) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3592497 + ... + 3592527.

Almost surely, 2^111367872 is an apocalyptic number.

111367872 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 111367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213213696).

111367872 is an abundant number, since it is smaller than the sum of its proper divisors (315059520).

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

111367872 is an equidigital number, since it uses as much as digits as its factorization.

111367872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 111367872 is about 10553.0977442645. The cubic root of 111367872 is about 481.1198851705.

The spelling of 111367872 in words is "one hundred eleven million, three hundred sixty-seven thousand, eight hundred seventy-two".