72605387205089 has 2 divisors, whose sum is σ = 72605387205090. Its totient is φ = 72605387205088.

The previous prime is 72605387205079. The next prime is 72605387205119. The reversal of 72605387205089 is 98050278350627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36377122509025 + 36228264696064 = 6031345^2 + 6018992^2 .

It is a cyclic number.

It is not a de Polignac number, because 72605387205089 - 2³⁶ = 72536667728353 is a prime.

It is not a weakly prime, because it can be changed into another prime (72605387205079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36302693602544 + 36302693602545.

It is an arithmetic number, because the mean of its divisors is an integer number (36302693602545).

Almost surely, 2^{72605387205089} is an apocalyptic number.

It is an amenable number.

72605387205089 is a deficient number, since it is larger than the sum of its proper divisors (1).

72605387205089 is an equidigital number, since it uses as much as digits as its factorization.

72605387205089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50803200, while the sum is 62.

The spelling of 72605387205089 in words is "seventy-two trillion, six hundred five billion, three hundred eighty-seven million, two hundred five thousand, eighty-nine".