72309424900 has 36 divisors (see below), whose sum is σ = 158465052900. Its totient is φ = 28637392000.

The previous prime is 72309424861. The next prime is 72309424903. The reversal of 72309424900 is 942490327.

It can be written as a sum of positive squares in 6 ways, for example, as 2820247236 + 69489177664 = 53106^2 + 263608^2 .

It is not an unprimeable number, because it can be changed into a prime (72309424903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3569575 + ... + 3589774.

It is an arithmetic number, because the mean of its divisors is an integer number (4401807025).

Almost surely, 2^72309424900 is an apocalyptic number.

It is an amenable number.

72309424900 is an abundant number, since it is smaller than the sum of its proper divisors (86155628000).

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

72309424900 is a wasteful number, since it uses less digits than its factorization.

72309424900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159464 (or 7159457 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 72309424900 in words is "seventy-two billion, three hundred nine million, four hundred twenty-four thousand, nine hundred".