72301294321 has 9 divisors (see below), whose sum is σ = 76809345249. Its totient is φ = 68043974784.

The previous prime is 72301294309. The next prime is 72301294333. The reversal of 72301294321 is 12349210327.

The square root of 72301294321 is 268889.

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

It is an interprime number because it is at equal distance from previous prime (72301294309) and next prime (72301294333).

It can be written as a sum of positive squares in 4 ways, for example, as 33255534321 + 39045760000 = 182361^2 + 197600^2 .

It is not a de Polignac number, because 72301294321 - 2⁷ = 72301294193 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72301294721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4563205 + ... + 4579021.

Almost surely, 2^72301294321 is an apocalyptic number.

72301294321 is the 268889-th square number.

72301294321 is the 134445-th centered octagonal number.

It is an amenable number.

72301294321 is a deficient number, since it is larger than the sum of its proper divisors (4508050928).

72301294321 is an frugal number, since it uses more digits than its factorization.

72301294321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31668 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 72301294321 in words is "seventy-two billion, three hundred one million, two hundred ninety-four thousand, three hundred twenty-one".