96772 has 12 divisors (see below), whose sum is σ = 182476. Its totient is φ = 44640.

The previous prime is 96769. The next prime is 96779. The reversal of 96772 is 27769.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4356 + 92416 = 66^2 + 304^2 .

It is not an unprimeable number, because it can be changed into a prime (96779) 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 3 ways as a sum of consecutive naturals, for example, 879 + ... + 982.

2⁹⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

96772 is a deficient number, since it is larger than the sum of its proper divisors (85704).

96772 is a wasteful number, since it uses less digits than its factorization.

96772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1876 counting only the distinct ones).

The product of its digits is 5292, while the sum is 31.

The square root of 96772 is about 311.0819827634. The cubic root of 96772 is about 45.9109809609.

It can be divided in two parts, 96 and 772, that added together give a palindrome (868).

The spelling of 96772 in words is "ninety-six thousand, seven hundred seventy-two".