71885640 has 64 divisors (see below), whose sum is σ = 218900160. Its totient is φ = 18881280.

The previous prime is 71885629. The next prime is 71885641. The reversal of 71885640 is 4658817.

It is not an unprimeable number, because it can be changed into a prime (71885641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3570 + ... + 12510.

It is an arithmetic number, because the mean of its divisors is an integer number (3420315).

Almost surely, 2^71885640 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 71885640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109450080).

71885640 is an abundant number, since it is smaller than the sum of its proper divisors (147014520).

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

71885640 is a wasteful number, since it uses less digits than its factorization.

71885640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9022 (or 9018 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 71885640 is about 8478.5399686503. The cubic root of 71885640 is about 415.7963901283.

The spelling of 71885640 in words is "seventy-one million, eight hundred eighty-five thousand, six hundred forty".