82572721920 has 576 divisors, whose sum is σ = 319594934400. Its totient is φ = 20316635136.

The previous prime is 82572721909. The next prime is 82572721969. The reversal of 82572721920 is 2912727528.

82572721920 is a `hidden beast` number, since 8 + 2 + 572 + 72 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 36390546 + ... + 36392814.

Almost surely, 2^82572721920 is an apocalyptic number.

82572721920 is a gapful number since it is divisible by the number (80) 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 82572721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159797467200).

82572721920 is an abundant number, since it is smaller than the sum of its proper divisors (237022212480).

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

82572721920 is an equidigital number, since it uses as much as digits as its factorization.

82572721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 82572721920 in words is "eighty-two billion, five hundred seventy-two million, seven hundred twenty-one thousand, nine hundred twenty".