11985072 has 40 divisors (see below), whose sum is σ = 33777600. Its totient is φ = 3631680.

The previous prime is 11985041. The next prime is 11985073. The reversal of 11985072 is 27058911.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11985073) 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 7 ways as a sum of consecutive naturals, for example, 10822 + ... + 11877.

It is an arithmetic number, because the mean of its divisors is an integer number (844440).

Almost surely, 2^11985072 is an apocalyptic number.

11985072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11985072 is an abundant number, since it is smaller than the sum of its proper divisors (21792528).

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

11985072 is a wasteful number, since it uses less digits than its factorization.

11985072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22721 (or 22715 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 11985072 is about 3461.9462734133. The cubic root of 11985072 is about 228.8478741492.

The spelling of 11985072 in words is "eleven million, nine hundred eighty-five thousand, seventy-two".