11782272 has 64 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 3855360.

The previous prime is 11782231. The next prime is 11782291. The reversal of 11782272 is 27228711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×11782272³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23173 + ... + 23675.

It is an arithmetic number, because the mean of its divisors is an integer number (498015).

Almost surely, 2^11782272 is an apocalyptic number.

11782272 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 11782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

11782272 is an abundant number, since it is smaller than the sum of its proper divisors (20090688).

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

11782272 is an equidigital number, since it uses as much as digits as its factorization.

11782272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its digits is 3136, while the sum is 30.

The square root of 11782272 is about 3432.5314273871. The cubic root of 11782272 is about 227.5497423736.

The spelling of 11782272 in words is "eleven million, seven hundred eighty-two thousand, two hundred seventy-two".