11577472 has 32 divisors (see below), whose sum is σ = 23256000. Its totient is φ = 5740800.

The previous prime is 11577439. The next prime is 11577497. The reversal of 11577472 is 27477511.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 19029 + ... + 19627.

It is an arithmetic number, because the mean of its divisors is an integer number (726750).

Almost surely, 2^11577472 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 11577472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11628000).

11577472 is an abundant number, since it is smaller than the sum of its proper divisors (11678528).

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

11577472 is an equidigital number, since it uses as much as digits as its factorization.

11577472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 752 counting only the distinct ones).

The product of its digits is 13720, while the sum is 34.

The square root of 11577472 is about 3402.5684416335. The cubic root of 11577472 is about 226.2236020197.

The spelling of 11577472 in words is "eleven million, five hundred seventy-seven thousand, four hundred seventy-two".