111675672 has 160 divisors (see below), whose sum is σ = 334540800. Its totient is φ = 34727616.

The previous prime is 111675643. The next prime is 111675679. The reversal of 111675672 is 276576111.

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 (111675679) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 879273 + ... + 879399.

It is an arithmetic number, because the mean of its divisors is an integer number (2090880).

Almost surely, 2^111675672 is an apocalyptic number.

111675672 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 111675672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270400).

111675672 is an abundant number, since it is smaller than the sum of its proper divisors (222865128).

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

111675672 is a wasteful number, since it uses less digits than its factorization.

111675672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 111675672 is about 10567.6710773945. The cubic root of 111675672 is about 481.5627192880.

The spelling of 111675672 in words is "one hundred eleven million, six hundred seventy-five thousand, six hundred seventy-two".