72582303006720 has 4320 divisors, whose sum is σ = 316101288222720. Its totient is φ = 15303526318080.

The previous prime is 72582303006643. The next prime is 72582303006779. The reversal of 72582303006720 is 2760030328527.

72582303006720 is a `hidden beast` number, since 7 + 2 + 58 + 230 + 300 + 67 + 2 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1687960535019 + ... + 1687960535061.

It is an arithmetic number, because the mean of its divisors is an integer number (73171594496).

Almost surely, 2^{72582303006720} 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 72582303006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158050644111360).

72582303006720 is an abundant number, since it is smaller than the sum of its proper divisors (243518985216000).

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

72582303006720 is a wasteful number, since it uses less digits than its factorization.

72582303006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 72582303006720 in words is "seventy-two trillion, five hundred eighty-two billion, three hundred three million, six thousand, seven hundred twenty".