11971872 has 72 divisors (see below), whose sum is σ = 37149840. Its totient is φ = 3626880.

The previous prime is 11971871. The next prime is 11971879. The reversal of 11971872 is 27817911.

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

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 (11971871) 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, 1279 + ... + 5057.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^11971872 is an apocalyptic number.

11971872 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 11971872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574920).

11971872 is an abundant number, since it is smaller than the sum of its proper divisors (25177968).

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

11971872 is a wasteful number, since it uses less digits than its factorization.

11971872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3795 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 11971872 is about 3460.0393061351. The cubic root of 11971872 is about 228.7638278840.

The spelling of 11971872 in words is "eleven million, nine hundred seventy-one thousand, eight hundred seventy-two".