11172800 has 42 divisors (see below), whose sum is σ = 27496008. Its totient is φ = 4468480.

The previous prime is 11172797. The next prime is 11172809. The reversal of 11172800 is 827111.

11172800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11172809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1892 + ... + 5091.

Almost surely, 2^11172800 is an apocalyptic number.

11172800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11172800 is an abundant number, since it is smaller than the sum of its proper divisors (16323208).

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

11172800 is an equidigital number, since it uses as much as digits as its factorization.

11172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 11172800 is about 3342.5738585707. The cubic root of 11172800 is about 223.5565205295.

Adding to 11172800 its reverse (827111), we get a palindrome (11999911).

The spelling of 11172800 in words is "eleven million, one hundred seventy-two thousand, eight hundred".