72385068 has 96 divisors (see below), whose sum is σ = 200309760. Its totient is φ = 19918080.

The previous prime is 72385067. The next prime is 72385081. The reversal of 72385068 is 86058327.

It is not an unprimeable number, because it can be changed into a prime (72385063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315978 + ... + 316206.

It is an arithmetic number, because the mean of its divisors is an integer number (2086560).

Almost surely, 2^72385068 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 72385068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100154880).

72385068 is an abundant number, since it is smaller than the sum of its proper divisors (127924692).

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

72385068 is a wasteful number, since it uses less digits than its factorization.

72385068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 72385068 is about 8507.9414666534. The cubic root of 72385068 is about 416.7570887136.

The spelling of 72385068 in words is "seventy-two million, three hundred eighty-five thousand, sixty-eight".