72066912 has 96 divisors (see below), whose sum is σ = 199729152. Its totient is φ = 22708224.

The previous prime is 72066901. The next prime is 72066919. The reversal of 72066912 is 21966027.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72066919) 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, 280288 + ... + 280544.

It is an arithmetic number, because the mean of its divisors is an integer number (2080512).

Almost surely, 2^72066912 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 72066912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99864576).

72066912 is an abundant number, since it is smaller than the sum of its proper divisors (127662240).

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

72066912 is a wasteful number, since it uses less digits than its factorization.

72066912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 72066912 is about 8489.2232860256. The cubic root of 72066912 is about 416.1455974579.

The spelling of 72066912 in words is "seventy-two million, sixty-six thousand, nine hundred twelve".