71872637 has 2 divisors, whose sum is σ = 71872638. Its totient is φ = 71872636.

The previous prime is 71872597. The next prime is 71872657. The reversal of 71872637 is 73627817.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56040196 + 15832441 = 7486^2 + 3979^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71872637 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 71872594 and 71872603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71872657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35936318 + 35936319.

It is an arithmetic number, because the mean of its divisors is an integer number (35936319).

Almost surely, 2^71872637 is an apocalyptic number.

It is an amenable number.

71872637 is a deficient number, since it is larger than the sum of its proper divisors (1).

71872637 is an equidigital number, since it uses as much as digits as its factorization.

71872637 is an evil number, because the sum of its binary digits is even.

The product of its digits is 98784, while the sum is 41.

The square root of 71872637 is about 8477.7731156242. The cubic root of 71872637 is about 415.7713182387.

The spelling of 71872637 in words is "seventy-one million, eight hundred seventy-two thousand, six hundred thirty-seven".