72064080000 has 960 divisors, whose sum is σ = 294029255520. Its totient is φ = 17418240000.

The previous prime is 72064079953. The next prime is 72064080007. The reversal of 72064080000 is 8046027.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72064080007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 213839832 + ... + 213840168.

Almost surely, 2^72064080000 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 72064080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147014627760).

72064080000 is an abundant number, since it is smaller than the sum of its proper divisors (221965175520).

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

72064080000 is an equidigital number, since it uses as much as digits as its factorization.

72064080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 72064080000 in words is "seventy-two billion, sixty-four million, eighty thousand".