7112688 has 80 divisors (see below), whose sum is σ = 21129600. Its totient is φ = 2039040.

The previous prime is 7112687. The next prime is 7112689. The reversal of 7112688 is 8862117.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7112687) and next prime (7112689).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7112683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9678 + ... + 10386.

It is an arithmetic number, because the mean of its divisors is an integer number (264120).

Almost surely, 2^7112688 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 7112688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564800).

7112688 is an abundant number, since it is smaller than the sum of its proper divisors (14016912).

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

7112688 is a wasteful number, since it uses less digits than its factorization.

7112688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 7112688 is about 2666.9623169441. The cubic root of 7112688 is about 192.3141558279.

The spelling of 7112688 in words is "seven million, one hundred twelve thousand, six hundred eighty-eight".