72099465984 has 720 divisors, whose sum is σ = 278664897280. Its totient is φ = 18005483520.

The previous prime is 72099465961. The next prime is 72099466009. The reversal of 72099465984 is 48956499027.

72099465984 is a `hidden beast` number, since 7 + 2 + 0 + 99 + 465 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35851539 + ... + 35853549.

Almost surely, 2^72099465984 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 72099465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139332448640).

72099465984 is an abundant number, since it is smaller than the sum of its proper divisors (206565431296).

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

72099465984 is a wasteful number, since it uses less digits than its factorization.

72099465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 72099465984 in words is "seventy-two billion, ninety-nine million, four hundred sixty-five thousand, nine hundred eighty-four".