71587680 has 192 divisors, whose sum is σ = 247339008. Its totient is φ = 17326080.

The previous prime is 71587673. The next prime is 71587727. The reversal of 71587680 is 8678517.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252819 + ... + 253101.

It is an arithmetic number, because the mean of its divisors is an integer number (1288224).

Almost surely, 2^71587680 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 71587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123669504).

71587680 is an abundant number, since it is smaller than the sum of its proper divisors (175751328).

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

71587680 is a wasteful number, since it uses less digits than its factorization.

71587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 71587680 is about 8460.9503012369. The cubic root of 71587680 is about 415.2211140840.

The spelling of 71587680 in words is "seventy-one million, five hundred eighty-seven thousand, six hundred eighty".