11932872 has 96 divisors (see below), whose sum is σ = 35431200. Its totient is φ = 3338496.

The previous prime is 11932867. The next prime is 11932873. The reversal of 11932872 is 27823911.

Its product of digits (6048) is a multiple of the sum of its prime divisors (224).

It is not an unprimeable number, because it can be changed into a prime (11932873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85779 + ... + 85917.

It is an arithmetic number, because the mean of its divisors is an integer number (369075).

Almost surely, 2^11932872 is an apocalyptic number.

11932872 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 11932872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17715600).

11932872 is an abundant number, since it is smaller than the sum of its proper divisors (23498328).

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

11932872 is a wasteful number, since it uses less digits than its factorization.

11932872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 11932872 is about 3454.3989346918. The cubic root of 11932872 is about 228.5151478992.

The spelling of 11932872 in words is "eleven million, nine hundred thirty-two thousand, eight hundred seventy-two".