11578672 has 40 divisors (see below), whose sum is σ = 26038016. Its totient is φ = 4885056.

The previous prime is 11578663. The next prime is 11578673. The reversal of 11578672 is 27687511.

It is not an unprimeable number, because it can be changed into a prime (11578673) 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, 6733 + ... + 8275.

Almost surely, 2^11578672 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 11578672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13019008).

11578672 is an abundant number, since it is smaller than the sum of its proper divisors (14459344).

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

11578672 is a wasteful number, since it uses less digits than its factorization.

11578672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1619 counting only the distinct ones).

The product of its digits is 23520, while the sum is 37.

The square root of 11578672 is about 3402.7447744431. The cubic root of 11578672 is about 226.2314177427.

It can be divided in two parts, 115 and 78672, that added together give a palindrome (78787).

The spelling of 11578672 in words is "eleven million, five hundred seventy-eight thousand, six hundred seventy-two".