11509872 has 40 divisors (see below), whose sum is σ = 32438400. Its totient is φ = 3487680.

The previous prime is 11509871. The next prime is 11509909. The reversal of 11509872 is 27890511.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11509871) 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 7 ways as a sum of consecutive naturals, for example, 10372 + ... + 11427.

It is an arithmetic number, because the mean of its divisors is an integer number (810960).

Almost surely, 2^11509872 is an apocalyptic number.

11509872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11509872 is an abundant number, since it is smaller than the sum of its proper divisors (20928528).

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

11509872 is a wasteful number, since it uses less digits than its factorization.

11509872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21821 (or 21815 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 11509872 is about 3392.6202263148. The cubic root of 11509872 is about 225.7824413250.

The spelling of 11509872 in words is "eleven million, five hundred nine thousand, eight hundred seventy-two".