71828129 has 2 divisors, whose sum is σ = 71828130. Its totient is φ = 71828128.

The previous prime is 71828123. The next prime is 71828153. The reversal of 71828129 is 92182817.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68442529 + 3385600 = 8273^2 + 1840^2 .

It is an emirp because it is prime and its reverse (92182817) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71828129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71828092 and 71828101.

It is not a weakly prime, because it can be changed into another prime (71828123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35914064 + 35914065.

It is an arithmetic number, because the mean of its divisors is an integer number (35914065).

Almost surely, 2^71828129 is an apocalyptic number.

It is an amenable number.

71828129 is a deficient number, since it is larger than the sum of its proper divisors (1).

71828129 is an equidigital number, since it uses as much as digits as its factorization.

71828129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 38.

The square root of 71828129 is about 8475.1477273261. The cubic root of 71828129 is about 415.6854767105.

The spelling of 71828129 in words is "seventy-one million, eight hundred twenty-eight thousand, one hundred twenty-nine".