7722 has 32 divisors (see below), whose sum is σ = 20160. Its totient is φ = 2160.

The previous prime is 7717. The next prime is 7723. The reversal of 7722 is 2277.

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

It is a plaindrome in base 15.

It is a nialpdrome in base 6 and base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 7695 and 7704.

It is not an unprimeable number, because it can be changed into a prime (7723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

2⁷⁷²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080).

7722 is an abundant number, since it is smaller than the sum of its proper divisors (12438).

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

7722 is a wasteful number, since it uses less digits than its factorization.

7722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 29 counting only the distinct ones).

The product of its digits is 196, while the sum is 18.

The square root of 7722 is about 87.8749110953. The cubic root of 7722 is about 19.7655968236.

Adding to 7722 its reverse (2277), we get a palindrome (9999).

Subtracting from 7722 its reverse (2277), we obtain a palindrome (5445).

It can be divided in two parts, 77 and 22, that added together give a palindrome (99).

The spelling of 7722 in words is "seven thousand, seven hundred twenty-two", and thus it is an iban number.