72081505008 has 240 divisors, whose sum is σ = 213116484672. Its totient is φ = 22712832000.

The previous prime is 72081504991. The next prime is 72081505019. The reversal of 72081505008 is 80050518027.

72081505008 is a `hidden beast` number, since 7 + 20 + 81 + 50 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67936798 + ... + 67937858.

Almost surely, 2^72081505008 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 72081505008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106558242336).

72081505008 is an abundant number, since it is smaller than the sum of its proper divisors (141034979664).

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

72081505008 is a wasteful number, since it uses less digits than its factorization.

72081505008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 72081505008 in words is "seventy-two billion, eighty-one million, five hundred five thousand, eight".