72313202304 has 480 divisors, whose sum is σ = 260026192800. Its totient is φ = 19488024576.

The previous prime is 72313202293. The next prime is 72313202327. The reversal of 72313202304 is 40320231327.

72313202304 is a `hidden beast` number, since 7 + 2 + 31 + 320 + 2 + 304 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 315778062 + ... + 315778290.

It is an arithmetic number, because the mean of its divisors is an integer number (541721235).

Almost surely, 2^72313202304 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 72313202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130013096400).

72313202304 is an abundant number, since it is smaller than the sum of its proper divisors (187712990496).

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

72313202304 is an equidigital number, since it uses as much as digits as its factorization.

72313202304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 72313202304 in words is "seventy-two billion, three hundred thirteen million, two hundred two thousand, three hundred four".