72938527073 has 2 divisors, whose sum is σ = 72938527074. Its totient is φ = 72938527072.

The previous prime is 72938527037. The next prime is 72938527087. The reversal of 72938527073 is 37072583927.

Together with previous prime (72938527037) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52894480144 + 20044046929 = 229988^2 + 141577^2 .

It is a cyclic number.

It is not a de Polignac number, because 72938527073 - 2¹⁶ = 72938461537 is a prime.

It is not a weakly prime, because it can be changed into another prime (72938527003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36469263536 + 36469263537.

It is an arithmetic number, because the mean of its divisors is an integer number (36469263537).

Almost surely, 2^72938527073 is an apocalyptic number.

It is an amenable number.

72938527073 is a deficient number, since it is larger than the sum of its proper divisors (1).

72938527073 is an equidigital number, since it uses as much as digits as its factorization.

72938527073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4445280, while the sum is 53.

The spelling of 72938527073 in words is "seventy-two billion, nine hundred thirty-eight million, five hundred twenty-seven thousand, seventy-three".