11367072 has 72 divisors (see below), whose sum is σ = 33464340. Its totient is φ = 3655680.

The previous prime is 11367071. The next prime is 11367077. The reversal of 11367072 is 27076311.

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 318096 = 3324^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11367071) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7672 + ... + 9032.

Almost surely, 2^11367072 is an apocalyptic number.

11367072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11367072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732170).

11367072 is an abundant number, since it is smaller than the sum of its proper divisors (22097268).

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

11367072 is a wasteful number, since it uses less digits than its factorization.

11367072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 11367072 is about 3371.5088610294. The cubic root of 11367072 is about 224.8448115055.

The spelling of 11367072 in words is "eleven million, three hundred sixty-seven thousand, seventy-two".