71872417 has 2 divisors, whose sum is σ = 71872418. Its totient is φ = 71872416.

The previous prime is 71872403. The next prime is 71872429. The reversal of 71872417 is 71427817.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61606801 + 10265616 = 7849^2 + 3204^2 .

It is an emirp because it is prime and its reverse (71427817) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71872417 - 2²³ = 63483809 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (71872487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35936208 + 35936209.

It is an arithmetic number, because the mean of its divisors is an integer number (35936209).

Almost surely, 2^71872417 is an apocalyptic number.

It is an amenable number.

71872417 is a deficient number, since it is larger than the sum of its proper divisors (1).

71872417 is an equidigital number, since it uses as much as digits as its factorization.

71872417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21952, while the sum is 37.

The square root of 71872417 is about 8477.7601405088. The cubic root of 71872417 is about 415.7708940171.

It can be divided in two parts, 7187 and 2417, that added together give a square (9604 = 98²).

The spelling of 71872417 in words is "seventy-one million, eight hundred seventy-two thousand, four hundred seventeen".