11307072 has 112 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 3144192.

The previous prime is 11307067. The next prime is 11307083. The reversal of 11307072 is 27070311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 63079 + ... + 63257.

Almost surely, 2^11307072 is an apocalyptic number.

11307072 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 11307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

11307072 is an abundant number, since it is smaller than the sum of its proper divisors (23805888).

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

11307072 is a wasteful number, since it uses less digits than its factorization.

11307072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 11307072 is about 3362.5989948253. The cubic root of 11307072 is about 224.4485061369.

Adding to 11307072 its reverse (27070311), we get a palindrome (38377383).

The spelling of 11307072 in words is "eleven million, three hundred seven thousand, seventy-two".