11807972 has 36 divisors (see below), whose sum is σ = 23362416. Its totient is φ = 5176080.

The previous prime is 11807941. The next prime is 11807977. The reversal of 11807972 is 27970811.

It is not an unprimeable number, because it can be changed into a prime (11807977) 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, 149429 + ... + 149507.

It is an arithmetic number, because the mean of its divisors is an integer number (648956).

Almost surely, 2^11807972 is an apocalyptic number.

It is an amenable number.

11807972 is a deficient number, since it is larger than the sum of its proper divisors (11554444).

11807972 is a wasteful number, since it uses less digits than its factorization.

11807972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 35.

The square root of 11807972 is about 3436.2729810072. The cubic root of 11807972 is about 227.7150693307.

The spelling of 11807972 in words is "eleven million, eight hundred seven thousand, nine hundred seventy-two".