71891307 has 48 divisors (see below), whose sum is σ = 118460160. Its totient is φ = 43366752.

The previous prime is 71891299. The next prime is 71891389. The reversal of 71891307 is 70319817.

It is not a de Polignac number, because 71891307 - 2³ = 71891299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71891207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105853 + ... + 106529.

It is an arithmetic number, because the mean of its divisors is an integer number (2467920).

Almost surely, 2^71891307 is an apocalyptic number.

71891307 is a deficient number, since it is larger than the sum of its proper divisors (46568853).

71891307 is a wasteful number, since it uses less digits than its factorization.

71891307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 71891307 is about 8478.8741587548. The cubic root of 71891307 is about 415.8073160760.

The spelling of 71891307 in words is "seventy-one million, eight hundred ninety-one thousand, three hundred seven".