7322112 has 120 divisors (see below), whose sum is σ = 24257376. Its totient is φ = 2082816.

The previous prime is 7322111. The next prime is 7322113. The reversal of 7322112 is 2112237.

It is an interprime number because it is at equal distance from previous prime (7322111) and next prime (7322113).

It is a super-2 number, since 2×7322112² = 107226648281088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (7322111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32143 + ... + 32369.

Almost surely, 2^7322112 is an apocalyptic number.

7322112 is a gapful number since it is divisible by the number (72) 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 7322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12128688).

7322112 is an abundant number, since it is smaller than the sum of its proper divisors (16935264).

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

7322112 is a wasteful number, since it uses less digits than its factorization.

7322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 7322112 is about 2705.9401323754. The cubic root of 7322112 is about 194.1834096422.

Adding to 7322112 its reverse (2112237), we get a palindrome (9434349).

The spelling of 7322112 in words is "seven million, three hundred twenty-two thousand, one hundred twelve".