11755872 has 36 divisors (see below), whose sum is σ = 33431580. Its totient is φ = 3918528.

The previous prime is 11755867. The next prime is 11755873. The reversal of 11755872 is 27855711.

11755872 is a `hidden beast` number, since 1 + 1 + 75 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11755873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20122 + ... + 20697.

It is an arithmetic number, because the mean of its divisors is an integer number (928655).

Almost surely, 2^11755872 is an apocalyptic number.

11755872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11755872 is an abundant number, since it is smaller than the sum of its proper divisors (21675708).

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

11755872 is a wasteful number, since it uses less digits than its factorization.

11755872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40835 (or 40824 counting only the distinct ones).

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

The square root of 11755872 is about 3428.6837124471. The cubic root of 11755872 is about 227.3796618333.

The spelling of 11755872 in words is "eleven million, seven hundred fifty-five thousand, eight hundred seventy-two".