71729041 has 2 divisors, whose sum is σ = 71729042. Its totient is φ = 71729040.

The previous prime is 71729039. The next prime is 71729057. The reversal of 71729041 is 14092717.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48650625 + 23078416 = 6975^2 + 4804^2 .

It is an emirp because it is prime and its reverse (14092717) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71729041 - 2¹ = 71729039 is a prime.

Together with 71729039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 71728994 and 71729012.

It is not a weakly prime, because it can be changed into another prime (71729641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35864520 + 35864521.

It is an arithmetic number, because the mean of its divisors is an integer number (35864521).

Almost surely, 2^71729041 is an apocalyptic number.

It is an amenable number.

71729041 is a deficient number, since it is larger than the sum of its proper divisors (1).

71729041 is an equidigital number, since it uses as much as digits as its factorization.

71729041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 71729041 is about 8469.2999120352. The cubic root of 71729041 is about 415.4942405931.

The spelling of 71729041 in words is "seventy-one million, seven hundred twenty-nine thousand, forty-one".