11188672 has 56 divisors (see below), whose sum is σ = 25310592. Its totient is φ = 4857600.

The previous prime is 11188657. The next prime is 11188673. The reversal of 11188672 is 27688111.

It is a super-2 number, since 2×11188672² = 250372762247168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11188673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15847 + ... + 16537.

Almost surely, 2^11188672 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 11188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655296).

11188672 is an abundant number, since it is smaller than the sum of its proper divisors (14121920).

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

11188672 is a wasteful number, since it uses less digits than its factorization.

11188672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 727 counting only the distinct ones).

The product of its digits is 5376, while the sum is 34.

The square root of 11188672 is about 3344.9472342624. The cubic root of 11188672 is about 223.6623313735.

The spelling of 11188672 in words is "eleven million, one hundred eighty-eight thousand, six hundred seventy-two".