71301960 has 192 divisors, whose sum is σ = 244885680. Its totient is φ = 17971200.

The previous prime is 71301949. The next prime is 71301977. The reversal of 71301960 is 6910317.

It can be written as a sum of positive squares in 8 ways, for example, as 67864644 + 3437316 = 8238^2 + 1854^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705910 + ... + 706010.

Almost surely, 2^71301960 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 71301960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122442840).

71301960 is an abundant number, since it is smaller than the sum of its proper divisors (173583720).

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

71301960 is a wasteful number, since it uses less digits than its factorization.

71301960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 71301960 is about 8444.0487919007. The cubic root of 71301960 is about 414.6679688042.

The spelling of 71301960 in words is "seventy-one million, three hundred one thousand, nine hundred sixty".