11071072 has 48 divisors (see below), whose sum is σ = 23284800. Its totient is φ = 5166720.

The previous prime is 11071057. The next prime is 11071133. The reversal of 11071072 is 27017011.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79579 + ... + 79717.

It is an arithmetic number, because the mean of its divisors is an integer number (485100).

Almost surely, 2^11071072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11071072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642400).

11071072 is an abundant number, since it is smaller than the sum of its proper divisors (12213728).

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

11071072 is a wasteful number, since it uses less digits than its factorization.

11071072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 11071072 is about 3327.3220463310. The cubic root of 11071072 is about 222.8759590888.

Adding to 11071072 its reverse (27017011), we get a palindrome (38088083).

The spelling of 11071072 in words is "eleven million, seventy-one thousand, seventy-two".