7712 has 12 divisors (see below), whose sum is σ = 15246. Its totient is φ = 3840.

The previous prime is 7703. The next prime is 7717. The reversal of 7712 is 2177.

It is a happy number.

7712 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 5776 + 1936 = 76^2 + 44^2 .

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a magnanimous number.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7712.

It is not an unprimeable number, because it can be changed into a prime (7717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 89 + ... + 152.

2⁷⁷¹² is an apocalyptic number.

It is an amenable number.

7712 is a deficient number, since it is larger than the sum of its proper divisors (7534).

7712 is a wasteful number, since it uses less digits than its factorization.

7712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its digits is 98, while the sum is 17.

The square root of 7712 is about 87.8179936004. The cubic root of 7712 is about 19.7570609801.

Adding to 7712 its reverse (2177), we get a palindrome (9889).

The spelling of 7712 in words is "seven thousand, seven hundred twelve", and thus it is an iban number.