11007072 has 36 divisors (see below), whose sum is σ = 31302180. Its totient is φ = 3668928.

The previous prime is 11007067. The next prime is 11007079. The reversal of 11007072 is 27070011.

11007072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11007079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18822 + ... + 19397.

It is an arithmetic number, because the mean of its divisors is an integer number (869505).

Almost surely, 2^11007072 is an apocalyptic number.

11007072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11007072 is an abundant number, since it is smaller than the sum of its proper divisors (20295108).

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

11007072 is a wasteful number, since it uses less digits than its factorization.

11007072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38235 (or 38224 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 11007072 is about 3317.6907631665. The cubic root of 11007072 is about 222.4456594140.

Adding to 11007072 its reverse (27070011), we get a palindrome (38077083).

The spelling of 11007072 in words is "eleven million, seven thousand, seventy-two".