72898380009 has 243 divisors, whose sum is σ = 141953152887. Its totient is φ = 35924720832.

The previous prime is 72898380007. The next prime is 72898380011. The reversal of 72898380009 is 90008389827.

The square root of 72898380009 is 269997.

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 (72898380007) and next prime (72898380011).

It can be written as a sum of positive squares in only one way, i.e., 10783784025 + 62114595984 = 103845^2 + 249228^2 .

It is not a de Polignac number, because 72898380009 - 2¹ = 72898380007 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72898380007) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1695311142 + ... + 1695311184.

Almost surely, 2^72898380009 is an apocalyptic number.

72898380009 is the 269997-th square number.

72898380009 is the 134999-th centered octagonal number.

It is an amenable number.

72898380009 is a deficient number, since it is larger than the sum of its proper divisors (69054772878).

72898380009 is a wasteful number, since it uses less digits than its factorization.

72898380009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 72898380009 in words is "seventy-two billion, eight hundred ninety-eight million, three hundred eighty thousand, nine".