72309024000 has 864 divisors, whose sum is σ = 286219979136. Its totient is φ = 18114969600.

The previous prime is 72309023993. The next prime is 72309024013. The reversal of 72309024000 is 42090327.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132191727 + ... + 132192273.

It is an arithmetic number, because the mean of its divisors is an integer number (331273124).

Almost surely, 2^72309024000 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 72309024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143109989568).

72309024000 is an abundant number, since it is smaller than the sum of its proper divisors (213910955136).

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

72309024000 is an equidigital number, since it uses as much as digits as its factorization.

72309024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 72309024000 in words is "seventy-two billion, three hundred nine million, twenty-four thousand".