111672 has 64 divisors (see below), whose sum is σ = 345600. Its totient is φ = 33120.

The previous prime is 111667. The next prime is 111697. The reversal of 111672 is 276111.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

111672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2353 + ... + 2399.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2¹¹¹⁶⁷² is an apocalyptic number.

111672 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 111672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

111672 is an abundant number, since it is smaller than the sum of its proper divisors (233928).

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

111672 is a wasteful number, since it uses less digits than its factorization.

111672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 111672 is about 334.1736075755. The cubic root of 111672 is about 48.1557441153.

Adding to 111672 its reverse (276111), we get a palindrome (387783).

The spelling of 111672 in words is "one hundred eleven thousand, six hundred seventy-two".