731112 has 32 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 237440.

The previous prime is 731057. The next prime is 731113. The reversal of 731112 is 211137.

It is a junction number, because it is equal to n+sod(n) for n = 731091 and 731100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (731113) by changing a digit.

731112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

2⁷³¹¹¹² 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 731112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

731112 is an abundant number, since it is smaller than the sum of its proper divisors (1143768).

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

731112 is a wasteful number, since it uses less digits than its factorization.

731112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 789 counting only the distinct ones).

The product of its digits is 42, while the sum is 15.

The square root of 731112 is about 855.0508756793. The cubic root of 731112 is about 90.0868297821.

Adding to 731112 its reverse (211137), we get a palindrome (942249).

The spelling of 731112 in words is "seven hundred thirty-one thousand, one hundred twelve".