11078272 has 64 divisors (see below), whose sum is σ = 23794560. Its totient is φ = 5125120.

The previous prime is 11078269. The next prime is 11078293. The reversal of 11078272 is 27287011.

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

It is a super-2 number, since 2×11078272² = 245456221011968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11078272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155997 + ... + 156067.

It is an arithmetic number, because the mean of its divisors is an integer number (371790).

Almost surely, 2^11078272 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 11078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11897280).

11078272 is an abundant number, since it is smaller than the sum of its proper divisors (12716288).

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

11078272 is an equidigital number, since it uses as much as digits as its factorization.

11078272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 11078272 is about 3328.4038216539. The cubic root of 11078272 is about 222.9242639311.

The spelling of 11078272 in words is "eleven million, seventy-eight thousand, two hundred seventy-two".