71131968 has 42 divisors (see below), whose sum is σ = 203888594. Its totient is φ = 23710464.

The previous prime is 71131937. The next prime is 71131969. The reversal of 71131968 is 86913117.

It can be written as a sum of positive squares in only one way, i.e., 52881984 + 18249984 = 7272^2 + 4272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71131969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61171 + ... + 62322.

Almost surely, 2^71131968 is an apocalyptic number.

It is an amenable number.

71131968 is an abundant number, since it is smaller than the sum of its proper divisors (132756626).

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

71131968 is a wasteful number, since it uses less digits than its factorization.

71131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123511 (or 123498 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 71131968 is about 8433.9769978344. The cubic root of 71131968 is about 414.3381680031.

The spelling of 71131968 in words is "seventy-one million, one hundred thirty-one thousand, nine hundred sixty-eight".