11512072 has 64 divisors (see below), whose sum is σ = 26308800. Its totient is φ = 4650240.

The previous prime is 11512051. The next prime is 11512073. The reversal of 11512072 is 27021511.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (11512073) 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 15 ways as a sum of consecutive naturals, for example, 33003 + ... + 33349.

It is an arithmetic number, because the mean of its divisors is an integer number (411075).

Almost surely, 2^11512072 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 11512072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154400).

11512072 is an abundant number, since it is smaller than the sum of its proper divisors (14796728).

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

11512072 is a wasteful number, since it uses less digits than its factorization.

11512072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 11512072 is about 3392.9444439896. The cubic root of 11512072 is about 225.7968257806.

Adding to 11512072 its reverse (27021511), we get a palindrome (38533583).

It can be divided in two parts, 1151 and 2072, that added together give a palindrome (3223).

The spelling of 11512072 in words is "eleven million, five hundred twelve thousand, seventy-two".