71585920 has 192 divisors, whose sum is σ = 213220800. Its totient is φ = 22450176.

The previous prime is 71585909. The next prime is 71585951. The reversal of 71585920 is 2958517.

It is a self number, because there is not a number n which added to its sum of digits gives 71585920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2468466 + ... + 2468494.

It is an arithmetic number, because the mean of its divisors is an integer number (1110525).

Almost surely, 2^71585920 is an apocalyptic number.

71585920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106610400).

71585920 is an abundant number, since it is smaller than the sum of its proper divisors (141634880).

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

71585920 is a wasteful number, since it uses less digits than its factorization.

71585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 71585920 is about 8460.8462933681. The cubic root of 71585920 is about 415.2177112864.

The spelling of 71585920 in words is "seventy-one million, five hundred eighty-five thousand, nine hundred twenty".