72099304808960 has 320 divisors, whose sum is σ = 203128910417664. Its totient is φ = 24196679270400.

The previous prime is 72099304808899. The next prime is 72099304808969. The reversal of 72099304808960 is 6980840399027.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (72099304808969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2409157517 + ... + 2409187443.

Almost surely, 2^{72099304808960} 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 72099304808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101564455208832).

72099304808960 is an abundant number, since it is smaller than the sum of its proper divisors (131029605608704).

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

72099304808960 is a wasteful number, since it uses less digits than its factorization.

72099304808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36555 (or 36539 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 65.

The spelling of 72099304808960 in words is "seventy-two trillion, ninety-nine billion, three hundred four million, eight hundred eight thousand, nine hundred sixty".