11747232 has 72 divisors (see below), whose sum is σ = 38185056. Its totient is φ = 3355776.

The previous prime is 11747231. The next prime is 11747243. The reversal of 11747232 is 23274711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 11747196 and 11747205.

It is not an unprimeable number, because it can be changed into a prime (11747231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898 + ... + 4929.

It is an arithmetic number, because the mean of its divisors is an integer number (530348).

Almost surely, 2^11747232 is an apocalyptic number.

11747232 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 11747232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19092528).

11747232 is an abundant number, since it is smaller than the sum of its proper divisors (26437824).

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

11747232 is a wasteful number, since it uses less digits than its factorization.

11747232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5839 counting only the distinct ones).

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

The square root of 11747232 is about 3427.4235221227. The cubic root of 11747232 is about 227.3239438125.

The spelling of 11747232 in words is "eleven million, seven hundred forty-seven thousand, two hundred thirty-two".