71972041 has 2 divisors, whose sum is σ = 71972042. Its totient is φ = 71972040.

The previous prime is 71972027. The next prime is 71972051. The reversal of 71972041 is 14027917.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52258441 + 19713600 = 7229^2 + 4440^2 .

It is an emirp because it is prime and its reverse (14027917) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71972041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71971994 and 71972012.

It is not a weakly prime, because it can be changed into another prime (71972051) 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, 35986020 + 35986021.

It is an arithmetic number, because the mean of its divisors is an integer number (35986021).

Almost surely, 2^71972041 is an apocalyptic number.

It is an amenable number.

71972041 is a deficient number, since it is larger than the sum of its proper divisors (1).

71972041 is an equidigital number, since it uses as much as digits as its factorization.

71972041 is an odious number, because the sum of its binary digits is odd.

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

The square root of 71972041 is about 8483.6337143939. The cubic root of 71972041 is about 415.9629085057.

Adding to 71972041 its reverse (14027917), we get a palindrome (85999958).

The spelling of 71972041 in words is "seventy-one million, nine hundred seventy-two thousand, forty-one".