11916072 has 160 divisors (see below), whose sum is σ = 39726720. Its totient is φ = 3265920.

The previous prime is 11916049. The next prime is 11916089. The reversal of 11916072 is 27061911.

11916072 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 Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167797 + ... + 167867.

It is an arithmetic number, because the mean of its divisors is an integer number (248292).

Almost surely, 2^11916072 is an apocalyptic number.

11916072 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 11916072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19863360).

11916072 is an abundant number, since it is smaller than the sum of its proper divisors (27810648).

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

11916072 is a wasteful number, since it uses less digits than its factorization.

11916072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11916072 is about 3451.9663961284. The cubic root of 11916072 is about 228.4078572282.

Adding to 11916072 its reverse (27061911), we get a palindrome (38977983).

The spelling of 11916072 in words is "eleven million, nine hundred sixteen thousand, seventy-two".