11799072 has 72 divisors (see below), whose sum is σ = 34230924. Its totient is φ = 3853824.

The previous prime is 11799061. The next prime is 11799077. The reversal of 11799072 is 27099711.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 266256 = 3396^2 + 516^2 .

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

It is a super-2 number, since 2×11799072² = 278436200122368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11799077) 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 11 ways as a sum of consecutive naturals, for example, 14878 + ... + 15650.

Almost surely, 2^11799072 is an apocalyptic number.

11799072 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 11799072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17115462).

11799072 is an abundant number, since it is smaller than the sum of its proper divisors (22431852).

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

11799072 is a wasteful number, since it uses less digits than its factorization.

11799072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 11799072 is about 3434.9777291854. The cubic root of 11799072 is about 227.6578432037.

The spelling of 11799072 in words is "eleven million, seven hundred ninety-nine thousand, seventy-two".