11072 has 14 divisors (see below), whose sum is σ = 22098. Its totient is φ = 5504.

The previous prime is 11071. The next prime is 11083. The reversal of 11072 is 27011.

11072 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 256 = 104^2 + 16^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071) 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, 23 + ... + 150.

2¹¹⁰⁷² is an apocalyptic number.

It is an amenable number.

11072 is a deficient number, since it is larger than the sum of its proper divisors (11026).

11072 is an equidigital number, since it uses as much as digits as its factorization.

11072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 11072 is about 105.2235715037. The cubic root of 11072 is about 22.2882186222.

Adding to 11072 its reverse (27011), we get a palindrome (38083).

The spelling of 11072 in words is "eleven thousand, seventy-two", and thus it is an iban number.