72840064 has 48 divisors (see below), whose sum is σ = 159536160. Its totient is φ = 33102080.

The previous prime is 72840059. The next prime is 72840071. The reversal of 72840064 is 46004827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13137 + ... + 17839.

It is an arithmetic number, because the mean of its divisors is an integer number (3323670).

Almost surely, 2^72840064 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 72840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79768080).

72840064 is an abundant number, since it is smaller than the sum of its proper divisors (86696096).

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

72840064 is a wasteful number, since it uses less digits than its factorization.

72840064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 72840064 is about 8534.6390667679. The cubic root of 72840064 is about 417.6284787515.

The spelling of 72840064 in words is "seventy-two million, eight hundred forty thousand, sixty-four".