71505960 has 64 divisors (see below), whose sum is σ = 216561600. Its totient is φ = 18886656.

The previous prime is 71505923. The next prime is 71505971. The reversal of 71505960 is 6950517.

It is a super-2 number, since 2×71505960² = 10226204631043200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10056 + ... + 15624.

It is an arithmetic number, because the mean of its divisors is an integer number (3383775).

Almost surely, 2^71505960 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 71505960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108280800).

71505960 is an abundant number, since it is smaller than the sum of its proper divisors (145055640).

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

71505960 is a wasteful number, since it uses less digits than its factorization.

71505960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 71505960 is about 8456.1196774880. The cubic root of 71505960 is about 415.0630571430.

The spelling of 71505960 in words is "seventy-one million, five hundred five thousand, nine hundred sixty".