11616072 has 64 divisors (see below), whose sum is σ = 32309760. Its totient is φ = 3456000.

The previous prime is 11616067. The next prime is 11616089. The reversal of 11616072 is 27061611.

11616072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9072 + ... + 10272.

It is an arithmetic number, because the mean of its divisors is an integer number (504840).

Almost surely, 2^11616072 is an apocalyptic number.

11616072 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 11616072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16154880).

11616072 is an abundant number, since it is smaller than the sum of its proper divisors (20693688).

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

11616072 is a wasteful number, since it uses less digits than its factorization.

11616072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 11616072 is about 3408.2359073280. The cubic root of 11616072 is about 226.4747375691.

Adding to 11616072 its reverse (27061611), we get a palindrome (38677683).

The spelling of 11616072 in words is "eleven million, six hundred sixteen thousand, seventy-two".