11575872 has 280 divisors, whose sum is σ = 44256960. Its totient is φ = 2903040.

The previous prime is 11575867. The next prime is 11575873. The reversal of 11575872 is 27857511.

11575872 is a `hidden beast` number, since 1 + 1 + 575 + 87 + 2 = 666.

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 (11575873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399154 + ... + 399182.

Almost surely, 2^11575872 is an apocalyptic number.

11575872 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 11575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128480).

11575872 is an abundant number, since it is smaller than the sum of its proper divisors (32681088).

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

11575872 is a wasteful number, since it uses less digits than its factorization.

11575872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The square root of 11575872 is about 3402.3333170047. Note that the first 4 decimals coincide. The cubic root of 11575872 is about 226.2131802155.

The spelling of 11575872 in words is "eleven million, five hundred seventy-five thousand, eight hundred seventy-two".