11575712 has 48 divisors (see below), whose sum is σ = 24393600. Its totient is φ = 5391360.

The previous prime is 11575703. The next prime is 11575717. The reversal of 11575712 is 21757511.

It is a super-3 number, since 3×11575712³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11575717) 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, 47912 + ... + 48152.

It is an arithmetic number, because the mean of its divisors is an integer number (508200).

Almost surely, 2^11575712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11575712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196800).

11575712 is an abundant number, since it is smaller than the sum of its proper divisors (12817888).

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

11575712 is a wasteful number, since it uses less digits than its factorization.

11575712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its digits is 2450, while the sum is 29.

The square root of 11575712 is about 3402.3098036481. The cubic root of 11575712 is about 226.2121379822.

The spelling of 11575712 in words is "eleven million, five hundred seventy-five thousand, seven hundred twelve".