72365304064 has 243 divisors, whose sum is σ = 164223393033. Its totient is φ = 31816114176.

The previous prime is 72365304049. The next prime is 72365304083. The reversal of 72365304064 is 46040356327.

The square root of 72365304064 is 269008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56339769600 + 16025534464 = 237360^2 + 126592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1682914027 + ... + 1682914069.

Almost surely, 2^72365304064 is an apocalyptic number.

72365304064 is the 269008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72365304064

72365304064 is an abundant number, since it is smaller than the sum of its proper divisors (91858088969).

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

72365304064 is an equidigital number, since it uses as much as digits as its factorization.

72365304064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 72365304064 in words is "seventy-two billion, three hundred sixty-five million, three hundred four thousand, sixty-four".