111072 has 48 divisors (see below), whose sum is σ = 317520. Its totient is φ = 33792.

The previous prime is 111053. The next prime is 111091. The reversal of 111072 is 270111.

It is an interprime number because it is at equal distance from previous prime (111053) and next prime (111091).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

111072 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 7 ways as a sum of consecutive naturals, for example, 1204 + ... + 1292.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2¹¹¹⁰⁷² is an apocalyptic number.

111072 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 111072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760).

111072 is an abundant number, since it is smaller than the sum of its proper divisors (206448).

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

111072 is a wasteful number, since it uses less digits than its factorization.

111072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 111072 is about 333.2746615031. The cubic root of 111072 is about 48.0693442166.

Adding to 111072 its reverse (270111), we get a palindrome (381183).

The spelling of 111072 in words is "one hundred eleven thousand, seventy-two", and thus it is an iban number.