11577272 has 32 divisors (see below), whose sum is σ = 26269920. Its totient is φ = 4669440.

The previous prime is 11577259. The next prime is 11577283. The reversal of 11577272 is 27277511.

11577272 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

11577272 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5129 + ... + 7032.

It is an arithmetic number, because the mean of its divisors is an integer number (820935).

Almost surely, 2^11577272 is an apocalyptic number.

It is an amenable number.

11577272 is an abundant number, since it is smaller than the sum of its proper divisors (14692648).

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

11577272 is a wasteful number, since it uses less digits than its factorization.

11577272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12191 (or 12187 counting only the distinct ones).

The product of its digits is 6860, while the sum is 32.

The square root of 11577272 is about 3402.5390519434. The cubic root of 11577272 is about 226.2222993467. Note that the first 4 decimals are identical.

The spelling of 11577272 in words is "eleven million, five hundred seventy-seven thousand, two hundred seventy-two".