72689909760 has 640 divisors, whose sum is σ = 281856960000. Its totient is φ = 17666408448.

The previous prime is 72689909759. The next prime is 72689909779. The reversal of 72689909760 is 6790998627.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920125401 + ... + 920125479.

It is an arithmetic number, because the mean of its divisors is an integer number (440401500).

Almost surely, 2^72689909760 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 72689909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140928480000).

72689909760 is an abundant number, since it is smaller than the sum of its proper divisors (209167050240).

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

72689909760 is an frugal number, since it uses more digits than its factorization.

72689909760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 72689909760 in words is "seventy-two billion, six hundred eighty-nine million, nine hundred nine thousand, seven hundred sixty".