72960068286 has 288 divisors, whose sum is σ = 202736701440. Its totient is φ = 18516491136.

The previous prime is 72960068227. The next prime is 72960068287. The reversal of 72960068286 is 68286006927.

72960068286 is a `hidden beast` number, since 7 + 2 + 9 + 600 + 6 + 8 + 28 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72960068287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67120035 + ... + 67121121.

It is an arithmetic number, because the mean of its divisors is an integer number (703946880).

Almost surely, 2^72960068286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72960068286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101368350720).

72960068286 is an abundant number, since it is smaller than the sum of its proper divisors (129776633154).

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

72960068286 is a wasteful number, since it uses less digits than its factorization.

72960068286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 72960068286 in words is "seventy-two billion, nine hundred sixty million, sixty-eight thousand, two hundred eighty-six".