11701872 has 240 divisors, whose sum is σ = 43330560. Its totient is φ = 2861568.

The previous prime is 11701867. The next prime is 11701901. The reversal of 11701872 is 27810711.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 248953 + ... + 248999.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 2^11701872 is an apocalyptic number.

11701872 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 11701872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665280).

11701872 is an abundant number, since it is smaller than the sum of its proper divisors (31628688).

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

11701872 is a wasteful number, since it uses less digits than its factorization.

11701872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 11701872 is about 3420.7999064546. The cubic root of 11701872 is about 227.0309750922.

The spelling of 11701872 in words is "eleven million, seven hundred one thousand, eight hundred seventy-two".