11772288 has 96 divisors (see below), whose sum is σ = 36995400. Its totient is φ = 3563520.

The previous prime is 11772287. The next prime is 11772301. The reversal of 11772288 is 88227711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11772287) 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, 12208 + ... + 13136.

Almost surely, 2^11772288 is an apocalyptic number.

11772288 is a gapful number since it is divisible by the number (18) 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 11772288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18497700).

11772288 is an abundant number, since it is smaller than the sum of its proper divisors (25223112).

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

11772288 is a wasteful number, since it uses less digits than its factorization.

11772288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 945 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 11772288 is about 3431.0767989073. The cubic root of 11772288 is about 227.4854509071.

Adding to 11772288 its reverse (88227711), we get a palindrome (99999999).

The spelling of 11772288 in words is "eleven million, seven hundred seventy-two thousand, two hundred eighty-eight".