11872000 has 144 divisors (see below), whose sum is σ = 34437312. Its totient is φ = 3993600.

The previous prime is 11871989. The next prime is 11872013. The reversal of 11872000 is 27811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223974 + ... + 224026.

It is an arithmetic number, because the mean of its divisors is an integer number (239148).

Almost surely, 2^11872000 is an apocalyptic number.

11872000 is a gapful number since it is divisible by the number (10) 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 11872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218656).

11872000 is an abundant number, since it is smaller than the sum of its proper divisors (22565312).

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

11872000 is an frugal number, since it uses more digits than its factorization.

11872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 11872000 is about 3445.5768747773. The cubic root of 11872000 is about 228.1259179296.

Adding to 11872000 its reverse (27811), we get a palindrome (11899811).

The spelling of 11872000 in words is "eleven million, eight hundred seventy-two thousand".