72069984000 has 648 divisors, whose sum is σ = 301727292048. Its totient is φ = 16469913600.

The previous prime is 72069983971. The next prime is 72069984031. The reversal of 72069984000 is 48996027.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 14109447 + ... + 14114553.

Almost surely, 2^72069984000 is an apocalyptic number.

72069984000 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 72069984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150863646024).

72069984000 is an abundant number, since it is smaller than the sum of its proper divisors (229657308048).

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

72069984000 is a wasteful number, since it uses less digits than its factorization.

72069984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 72069984000 in words is "seventy-two billion, sixty-nine million, nine hundred eighty-four thousand".