72784000080 has 480 divisors, whose sum is σ = 273853008000. Its totient is φ = 17174384640.

The previous prime is 72784000061. The next prime is 72784000087. The reversal of 72784000080 is 8000048727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72783999999 and 72784000044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72784000087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50932806 + ... + 50934234.

It is an arithmetic number, because the mean of its divisors is an integer number (570527100).

Almost surely, 2^72784000080 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 72784000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136926504000).

72784000080 is an abundant number, since it is smaller than the sum of its proper divisors (201069007920).

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

72784000080 is a wasteful number, since it uses less digits than its factorization.

72784000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 72784000080 in words is "seventy-two billion, seven hundred eighty-four million, eighty", and thus it is an aban number.