71731967 has 8 divisors (see below), whose sum is σ = 72542736. Its totient is φ = 70925632.

The previous prime is 71731931. The next prime is 71731969. The reversal of 71731967 is 76913717.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71731967 - 2¹⁶ = 71666431 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71731969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39248 + ... + 41034.

It is an arithmetic number, because the mean of its divisors is an integer number (9067842).

Almost surely, 2^71731967 is an apocalyptic number.

71731967 is a deficient number, since it is larger than the sum of its proper divisors (810769).

71731967 is a wasteful number, since it uses less digits than its factorization.

71731967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217.

The product of its digits is 55566, while the sum is 41.

The square root of 71731967 is about 8469.4726518243. The cubic root of 71731967 is about 415.4998901859.

The spelling of 71731967 in words is "seventy-one million, seven hundred thirty-one thousand, nine hundred sixty-seven".