71605760 has 80 divisors (see below), whose sum is σ = 174270096. Its totient is φ = 28213248.

The previous prime is 71605733. The next prime is 71605771. The reversal of 71605760 is 6750617.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 212312 + ... + 212648.

Almost surely, 2^71605760 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 71605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87135048).

71605760 is an abundant number, since it is smaller than the sum of its proper divisors (102664336).

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

71605760 is an equidigital number, since it uses as much as digits as its factorization.

71605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 71605760 is about 8462.0186716882. The cubic root of 71605760 is about 415.2560668665.

The spelling of 71605760 in words is "seventy-one million, six hundred five thousand, seven hundred sixty".