582272763072 has 672 divisors, whose sum is σ = 2101528407552. Its totient is φ = 137410560000.

The previous prime is 582272763049. The next prime is 582272763103. The reversal of 582272763072 is 270367272285.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 968839572 + ... + 968840172.

It is an arithmetic number, because the mean of its divisors is an integer number (3127274416).

Almost surely, 2^582272763072 is an apocalyptic number.

582272763072 is a gapful number since it is divisible by the number (52) 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 582272763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050764203776).

582272763072 is an abundant number, since it is smaller than the sum of its proper divisors (1519255644480).

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

582272763072 is a wasteful number, since it uses less digits than its factorization.

582272763072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 582272763072 in words is "five hundred eighty-two billion, two hundred seventy-two million, seven hundred sixty-three thousand, seventy-two".