112072 has 8 divisors (see below), whose sum is σ = 210150. Its totient is φ = 56032.

The previous prime is 112069. The next prime is 112087. The reversal of 112072 is 270211.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 30276 = 286^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6997 + ... + 7012.

2¹¹²⁰⁷² is an apocalyptic number.

It is an amenable number.

112072 is a deficient number, since it is larger than the sum of its proper divisors (98078).

112072 is a wasteful number, since it uses less digits than its factorization.

112072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14015 (or 14011 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 112072 is about 334.7715639059. The cubic root of 112072 is about 48.2131722520.

Adding to 112072 its reverse (270211), we get a palindrome (382283).

The spelling of 112072 in words is "one hundred twelve thousand, seventy-two", and thus it is an iban number.