72759694560 has 384 divisors, whose sum is σ = 270029168640. Its totient is φ = 16122710016.

The previous prime is 72759694549. The next prime is 72759694643. The reversal of 72759694560 is 6549695727.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 72759694494 and 72759694503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20080909 + ... + 20084531.

It is an arithmetic number, because the mean of its divisors is an integer number (703200960).

Almost surely, 2^72759694560 is an apocalyptic number.

72759694560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72759694560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135014584320).

72759694560 is an abundant number, since it is smaller than the sum of its proper divisors (197269474080).

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

72759694560 is a wasteful number, since it uses less digits than its factorization.

72759694560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 72759694560 in words is "seventy-two billion, seven hundred fifty-nine million, six hundred ninety-four thousand, five hundred sixty".