11002272 has 48 divisors (see below), whose sum is σ = 29820672. Its totient is φ = 3548160.

The previous prime is 11002259. The next prime is 11002279. The reversal of 11002272 is 27220011.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11002279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1128 + ... + 4824.

It is an arithmetic number, because the mean of its divisors is an integer number (621264).

Almost surely, 2^11002272 is an apocalyptic number.

11002272 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 11002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14910336).

11002272 is an abundant number, since it is smaller than the sum of its proper divisors (18818400).

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

11002272 is a wasteful number, since it uses less digits than its factorization.

11002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 11002272 is about 3316.9672895583. The cubic root of 11002272 is about 222.4133197688.

Adding to 11002272 its reverse (27220011), we get a palindrome (38222283).

The spelling of 11002272 in words is "eleven million, two thousand, two hundred seventy-two".