11305872 has 40 divisors (see below), whose sum is σ = 32453280. Its totient is φ = 3768480.

The previous prime is 11305841. The next prime is 11305883. The reversal of 11305872 is 27850311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12654 + ... + 13517.

It is an arithmetic number, because the mean of its divisors is an integer number (811332).

Almost surely, 2^11305872 is an apocalyptic number.

11305872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11305872 is an abundant number, since it is smaller than the sum of its proper divisors (21147408).

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

11305872 is a wasteful number, since it uses less digits than its factorization.

11305872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26188 (or 26176 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11305872 is about 3362.4205566823. The cubic root of 11305872 is about 224.4405657453.

The spelling of 11305872 in words is "eleven million, three hundred five thousand, eight hundred seventy-two".