71004960 has 144 divisors (see below), whose sum is σ = 261012024. Its totient is φ = 17473536.

The previous prime is 71004959. The next prime is 71005009. The reversal of 71004960 is 6940017.

It can be written as a sum of positive squares in 4 ways, for example, as 32216976 + 38787984 = 5676^2 + 6228^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16824 + ... + 20616.

Almost surely, 2^71004960 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 71004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130506012).

71004960 is an abundant number, since it is smaller than the sum of its proper divisors (190007064).

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

71004960 is a wasteful number, since it uses less digits than its factorization.

71004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 71004960 is about 8426.4440898875. Note that the first 3 decimals coincide. The cubic root of 71004960 is about 414.0914171854.

Adding to 71004960 its reverse (6940017), we get a palindrome (77944977).

The spelling of 71004960 in words is "seventy-one million, four thousand, nine hundred sixty".