10772 has 6 divisors (see below), whose sum is σ = 18858. Its totient is φ = 5384.

The previous prime is 10771. The next prime is 10781. The reversal of 10772 is 27701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8836 + 1936 = 94^2 + 44^2 .

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 10772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10771) 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, 1343 + ... + 1350.

It is an arithmetic number, because the mean of its divisors is an integer number (3143).

2¹⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

10772 is a deficient number, since it is larger than the sum of its proper divisors (8086).

10772 is a wasteful number, since it uses less digits than its factorization.

10772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2695 counting only the distinct ones).

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

The square root of 10772 is about 103.7882459626. The cubic root of 10772 is about 22.0850700742.

The spelling of 10772 in words is "ten thousand, seven hundred seventy-two", and thus it is an iban number.