11505072 has 20 divisors (see below), whose sum is σ = 29721560. Its totient is φ = 3835008.

The previous prime is 11505071. The next prime is 11505121. The reversal of 11505072 is 27050511.

It is not an unprimeable number, because it can be changed into a prime (11505071) 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 3 ways as a sum of consecutive naturals, for example, 119797 + ... + 119892.

It is an arithmetic number, because the mean of its divisors is an integer number (1486078).

Almost surely, 2^11505072 is an apocalyptic number.

11505072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11505072 is an abundant number, since it is smaller than the sum of its proper divisors (18216488).

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

11505072 is a wasteful number, since it uses less digits than its factorization.

11505072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239700 (or 239694 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 11505072 is about 3391.9127347265. The cubic root of 11505072 is about 225.7510506948.

Adding to 11505072 its reverse (27050511), we get a palindrome (38555583).

The spelling of 11505072 in words is "eleven million, five hundred five thousand, seventy-two".