71331008 has 56 divisors (see below), whose sum is σ = 163677600. Its totient is φ = 30210048.

The previous prime is 71330983. The next prime is 71331011. The reversal of 71331008 is 80013317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×71331008² = 10176225404592128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38978 + ... + 40766.

Almost surely, 2^71331008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71331008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81838800).

71331008 is an abundant number, since it is smaller than the sum of its proper divisors (92346592).

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

71331008 is a wasteful number, since it uses less digits than its factorization.

71331008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 71331008 is about 8445.7686447120. The cubic root of 71331008 is about 414.7242722579.

The spelling of 71331008 in words is "seventy-one million, three hundred thirty-one thousand, eight".