73112 has 32 divisors (see below), whose sum is σ = 159600. Its totient is φ = 31104.

The previous prime is 73091. The next prime is 73121. The reversal of 73112 is 21137.

Added to its reverse (21137) it gives a square (94249 = 307²).

It is a congruent number.

It is an unprimeable number.

73112 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, 1958 + ... + 1994.

2⁷³¹¹² 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 73112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79800).

73112 is an abundant number, since it is smaller than the sum of its proper divisors (86488).

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

73112 is a wasteful number, since it uses less digits than its factorization.

73112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 71 counting only the distinct ones).

The product of its digits is 42, while the sum is 14.

The square root of 73112 is about 270.3923075829. The cubic root of 73112 is about 41.8147548317.

Adding to 73112 its reverse (21137), we get a palindrome (94249).

The spelling of 73112 in words is "seventy-three thousand, one hundred twelve", and thus it is an iban number.