71305760 has 48 divisors (see below), whose sum is σ = 169741656. Its totient is φ = 28305408.

The previous prime is 71305757. The next prime is 71305781. The reversal of 71305760 is 6750317.

It can be written as a sum of positive squares in 4 ways, for example, as 71031184 + 274576 = 8428^2 + 524^2 .

It is a super-2 number, since 2×71305760² = 10169022818355200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20294 + ... + 23546.

Almost surely, 2^71305760 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 71305760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84870828).

71305760 is an abundant number, since it is smaller than the sum of its proper divisors (98435896).

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

71305760 is a wasteful number, since it uses less digits than its factorization.

71305760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 71305760 is about 8444.2737994454. The cubic root of 71305760 is about 414.6753351763.

The spelling of 71305760 in words is "seventy-one million, three hundred five thousand, seven hundred sixty".