7642112 has 44 divisors (see below), whose sum is σ = 16212240. Its totient is φ = 3588096.

The previous prime is 7642111. The next prime is 7642121. The reversal of 7642112 is 2112467.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7642111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17189 + ... + 17627.

It is an arithmetic number, because the mean of its divisors is an integer number (368460).

Almost surely, 2^7642112 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 7642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106120).

7642112 is an abundant number, since it is smaller than the sum of its proper divisors (8570128).

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

7642112 is a wasteful number, since it uses less digits than its factorization.

7642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 458 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 7642112 is about 2764.4370132090. The cubic root of 7642112 is about 196.9719870498.

Adding to 7642112 its reverse (2112467), we get a palindrome (9754579).

The spelling of 7642112 in words is "seven million, six hundred forty-two thousand, one hundred twelve".