71829168 has 40 divisors (see below), whose sum is σ = 187035648. Its totient is φ = 23752512.

The previous prime is 71829119. The next prime is 71829169. The reversal of 71829168 is 86192817.

It is not an unprimeable number, because it can be changed into a prime (71829169) 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, 205 + ... + 11987.

Almost surely, 2^71829168 is an apocalyptic number.

It is an amenable number.

71829168 is an abundant number, since it is smaller than the sum of its proper divisors (115206480).

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

71829168 is a wasteful number, since it uses less digits than its factorization.

71829168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11921 (or 11915 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 71829168 is about 8475.2090239710. The cubic root of 71829168 is about 415.6874810094.

The spelling of 71829168 in words is "seventy-one million, eight hundred twenty-nine thousand, one hundred sixty-eight".