11723200 has 84 divisors (see below), whose sum is σ = 30614112. Its totient is φ = 4403200.

The previous prime is 11723161. The next prime is 11723203. The reversal of 11723200 is 232711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11723203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26985 + ... + 27415.

Almost surely, 2^11723200 is an apocalyptic number.

11723200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15307056).

11723200 is an abundant number, since it is smaller than the sum of its proper divisors (18890912).

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

11723200 is a wasteful number, since it uses less digits than its factorization.

11723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 11723200 is about 3423.9158868173. The cubic root of 11723200 is about 227.1688213514.

Adding to 11723200 its reverse (232711), we get a palindrome (11955911).

The spelling of 11723200 in words is "eleven million, seven hundred twenty-three thousand, two hundred".