75821729 has 2 divisors, whose sum is σ = 75821730. Its totient is φ = 75821728.

The previous prime is 75821687. The next prime is 75821743. The reversal of 75821729 is 92712857.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39037504 + 36784225 = 6248^2 + 6065^2 .

It is an emirp because it is prime and its reverse (92712857) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75821729 - 2¹⁶ = 75756193 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (75821129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37910864 + 37910865.

It is an arithmetic number, because the mean of its divisors is an integer number (37910865).

Almost surely, 2^75821729 is an apocalyptic number.

It is an amenable number.

75821729 is a deficient number, since it is larger than the sum of its proper divisors (1).

75821729 is an equidigital number, since it uses as much as digits as its factorization.

75821729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 41.

The square root of 75821729 is about 8707.5673411120. The cubic root of 75821729 is about 423.2509041705.

The spelling of 75821729 in words is "seventy-five million, eight hundred twenty-one thousand, seven hundred twenty-nine".