72066012 has 48 divisors (see below), whose sum is σ = 179289600. Its totient is φ = 22464000.

The previous prime is 72065977. The next prime is 72066013. The reversal of 72066012 is 21066027.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72066013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16012 + ... + 20012.

It is an arithmetic number, because the mean of its divisors is an integer number (3735200).

Almost surely, 2^72066012 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 72066012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89644800).

72066012 is an abundant number, since it is smaller than the sum of its proper divisors (107223588).

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

72066012 is a wasteful number, since it uses less digits than its factorization.

72066012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 72066012 is about 8489.1702774771. The cubic root of 72066012 is about 416.1438651206.

The spelling of 72066012 in words is "seventy-two million, sixty-six thousand, twelve".