73001828737 has 2 divisors, whose sum is σ = 73001828738. Its totient is φ = 73001828736.

The previous prime is 73001828701. The next prime is 73001828749. The reversal of 73001828737 is 73782810037.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47249282161 + 25752546576 = 217369^2 + 160476^2 .

It is a cyclic number.

It is not a de Polignac number, because 73001828737 - 2¹⁹ = 73001304449 is a prime.

It is not a weakly prime, because it can be changed into another prime (73001828777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36500914368 + 36500914369.

It is an arithmetic number, because the mean of its divisors is an integer number (36500914369).

Almost surely, 2^73001828737 is an apocalyptic number.

It is an amenable number.

73001828737 is a deficient number, since it is larger than the sum of its proper divisors (1).

73001828737 is an equidigital number, since it uses as much as digits as its factorization.

73001828737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 395136, while the sum is 46.

The spelling of 73001828737 in words is "seventy-three billion, one million, eight hundred twenty-eight thousand, seven hundred thirty-seven".