11808072 has 32 divisors (see below), whose sum is σ = 32800800. Its totient is φ = 3935952.

The previous prime is 11808067. The next prime is 11808077. The reversal of 11808072 is 27080811.

It is an interprime number because it is at equal distance from previous prime (11808067) and next prime (11808077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11808077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27118 + ... + 27549.

It is an arithmetic number, because the mean of its divisors is an integer number (1025025).

Almost surely, 2^11808072 is an apocalyptic number.

11808072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11808072 is an abundant number, since it is smaller than the sum of its proper divisors (20992728).

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

11808072 is a wasteful number, since it uses less digits than its factorization.

11808072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54682 (or 54672 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11808072 is about 3436.2875316248. The cubic root of 11808072 is about 227.7157121575.

Adding to 11808072 its reverse (27080811), we get a palindrome (38888883).

The spelling of 11808072 in words is "eleven million, eight hundred eight thousand, seventy-two".