11563872 has 48 divisors (see below), whose sum is σ = 30582720. Its totient is φ = 3825792.

The previous prime is 11563829. The next prime is 11563879. The reversal of 11563872 is 27836511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11563879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15279 + ... + 16017.

It is an arithmetic number, because the mean of its divisors is an integer number (637140).

Almost surely, 2^11563872 is an apocalyptic number.

11563872 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 11563872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291360).

11563872 is an abundant number, since it is smaller than the sum of its proper divisors (19018848).

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

11563872 is a wasteful number, since it uses less digits than its factorization.

11563872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 11563872 is about 3400.5693640918. The cubic root of 11563872 is about 226.1349860570.

The spelling of 11563872 in words is "eleven million, five hundred sixty-three thousand, eight hundred seventy-two".