11722368 has 128 divisors (see below), whose sum is σ = 36720000. Its totient is φ = 3311616.

The previous prime is 11722357. The next prime is 11722369. The reversal of 11722368 is 86322711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11722369) 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 15 ways as a sum of consecutive naturals, for example, 131668 + ... + 131756.

It is an arithmetic number, because the mean of its divisors is an integer number (286875).

Almost surely, 2^11722368 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 11722368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360000).

11722368 is an abundant number, since it is smaller than the sum of its proper divisors (24997632).

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

11722368 is an frugal number, since it uses more digits than its factorization.

11722368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 11722368 is about 3423.7943863497. The cubic root of 11722368 is about 227.1634471381.

It can be divided in two parts, 11722 and 368, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 11722368 in words is "eleven million, seven hundred twenty-two thousand, three hundred sixty-eight".