72007080359760 has 720 divisors, whose sum is σ = 303006072620160. Its totient is φ = 15189593610240.

The previous prime is 72007080359729. The next prime is 72007080359827. The reversal of 72007080359760 is 6795308070027.

72007080359760 is a `hidden beast` number, since 7 + 200 + 7 + 0 + 80 + 359 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 72007080359697 and 72007080359706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2756871981 + ... + 2756898099.

It is an arithmetic number, because the mean of its divisors is an integer number (420841767528).

Almost surely, 2^{72007080359760} is an apocalyptic number.

72007080359760 is a gapful number since it is divisible by the number (70) 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 72007080359760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151503036310080).

72007080359760 is an abundant number, since it is smaller than the sum of its proper divisors (230998992260400).

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

72007080359760 is a wasteful number, since it uses less digits than its factorization.

72007080359760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32176 (or 32160 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 72007080359760 in words is "seventy-two trillion, seven billion, eighty million, three hundred fifty-nine thousand, seven hundred sixty".