11772432 has 160 divisors (see below), whose sum is σ = 41068800. Its totient is φ = 3151872.

The previous prime is 11772427. The next prime is 11772433. The reversal of 11772432 is 23427711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 11772396 and 11772405.

It is not an unprimeable number, because it can be changed into a prime (11772433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51294 + ... + 51522.

It is an arithmetic number, because the mean of its divisors is an integer number (256680).

Almost surely, 2^11772432 is an apocalyptic number.

11772432 is a gapful number since it is divisible by the number (12) 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 11772432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534400).

11772432 is an abundant number, since it is smaller than the sum of its proper divisors (29296368).

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

11772432 is a wasteful number, since it uses less digits than its factorization.

11772432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 11772432 is about 3431.0977835089. The cubic root of 11772432 is about 227.4863784462.

The spelling of 11772432 in words is "eleven million, seven hundred seventy-two thousand, four hundred thirty-two".