72485223598080 has 1920 divisors, whose sum is σ = 296678622240000. Its totient is φ = 16811965808640.

The previous prime is 72485223598049. The next prime is 72485223598093. The reversal of 72485223598080 is 8089532258427.

It is a happy number.

72485223598080 is a `hidden beast` number, since 7 + 2 + 485 + 2 + 23 + 59 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 72485223597999 and 72485223598017.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10984270621 + ... + 10984277219.

It is an arithmetic number, because the mean of its divisors is an integer number (154520115750).

Almost surely, 2^{72485223598080} 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 72485223598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148339311120000).

72485223598080 is an abundant number, since it is smaller than the sum of its proper divisors (224193398641920).

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

72485223598080 is a wasteful number, since it uses less digits than its factorization.

72485223598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6715 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 72485223598080 in words is "seventy-two trillion, four hundred eighty-five billion, two hundred twenty-three million, five hundred ninety-eight thousand, eighty".