71845968 has 20 divisors (see below), whose sum is σ = 185602208. Its totient is φ = 23948640.

The previous prime is 71845937. The next prime is 71845993. The reversal of 71845968 is 86954817.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1496791 = 71845968 / (7 + 1 + 8 + 4 + 5 + 9 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 748348 + ... + 748443.

Almost surely, 2^71845968 is an apocalyptic number.

It is an amenable number.

71845968 is an abundant number, since it is smaller than the sum of its proper divisors (113756240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71845968 is a wasteful number, since it uses less digits than its factorization.

71845968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496802 (or 1496796 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 71845968 is about 8476.2000920224. The cubic root of 71845968 is about 415.7198866254.

The spelling of 71845968 in words is "seventy-one million, eight hundred forty-five thousand, nine hundred sixty-eight".