71671840 has 48 divisors (see below), whose sum is σ = 170251200. Its totient is φ = 28512000.

The previous prime is 71671823. The next prime is 71671871. The reversal of 71671840 is 4817617.

It is a junction number, because it is equal to n+sod(n) for n = 71671796 and 71671805.

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 7 ways as a sum of consecutive naturals, for example, 30715 + ... + 32965.

It is an arithmetic number, because the mean of its divisors is an integer number (3546900).

Almost surely, 2^71671840 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 71671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85125600).

71671840 is an abundant number, since it is smaller than the sum of its proper divisors (98579360).

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

71671840 is a wasteful number, since it uses less digits than its factorization.

71671840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 71671840 is about 8465.9222769879. The cubic root of 71671840 is about 415.3837646214.

The spelling of 71671840 in words is "seventy-one million, six hundred seventy-one thousand, eight hundred forty".