72568446720 has 576 divisors, whose sum is σ = 305972868096. Its totient is φ = 14191165440.

The previous prime is 72568446719. The next prime is 72568446721. The reversal of 72568446720 is 2764486527.

It is an interprime number because it is at equal distance from previous prime (72568446719) and next prime (72568446721).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72568446721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5019342 + ... + 5033778.

It is an arithmetic number, because the mean of its divisors is an integer number (531202896).

Almost surely, 2^72568446720 is an apocalyptic number.

72568446720 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 72568446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152986434048).

72568446720 is an abundant number, since it is smaller than the sum of its proper divisors (233404421376).

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

72568446720 is a wasteful number, since it uses less digits than its factorization.

72568446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14496 (or 14482 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 72568446720 in words is "seventy-two billion, five hundred sixty-eight million, four hundred forty-six thousand, seven hundred twenty".