72568782720 has 384 divisors, whose sum is σ = 290672778240. Its totient is φ = 16338972672.

The previous prime is 72568782719. The next prime is 72568782731. The reversal of 72568782720 is 2728786527.

72568782720 is a `hidden beast` number, since 7 + 2 + 568 + 7 + 8 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2688009 + ... + 2714871.

It is an arithmetic number, because the mean of its divisors is an integer number (756960360).

Almost surely, 2^72568782720 is an apocalyptic number.

72568782720 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 72568782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145336389120).

72568782720 is an abundant number, since it is smaller than the sum of its proper divisors (218103995520).

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

72568782720 is a wasteful number, since it uses less digits than its factorization.

72568782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26962 (or 26947 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 72568782720 in words is "seventy-two billion, five hundred sixty-eight million, seven hundred eighty-two thousand, seven hundred twenty".