111872376 has 192 divisors, whose sum is σ = 400308480. Its totient is φ = 27325440.

The previous prime is 111872363. The next prime is 111872413. The reversal of 111872376 is 673278111.

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 a self number, because there is not a number n which added to its sum of digits gives 111872376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93655 + ... + 94841.

It is an arithmetic number, because the mean of its divisors is an integer number (2084940).

Almost surely, 2^111872376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111872376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200154240).

111872376 is an abundant number, since it is smaller than the sum of its proper divisors (288436104).

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

111872376 is a wasteful number, since it uses less digits than its factorization.

111872376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1227 counting only the distinct ones).

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

The square root of 111872376 is about 10576.9738583396. The cubic root of 111872376 is about 481.8452927731.

The spelling of 111872376 in words is "one hundred eleven million, eight hundred seventy-two thousand, three hundred seventy-six".