71301472704 has 504 divisors, whose sum is σ = 262572081408. Its totient is φ = 18290119680.

The previous prime is 71301472703. The next prime is 71301472757. The reversal of 71301472704 is 40727410317.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71301472703) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25767129 + ... + 25769895.

It is an arithmetic number, because the mean of its divisors is an integer number (520976352).

Almost surely, 2^71301472704 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 71301472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131286040704).

71301472704 is an abundant number, since it is smaller than the sum of its proper divisors (191270608704).

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

71301472704 is a wasteful number, since it uses less digits than its factorization.

71301472704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 71301472704 in words is "seventy-one billion, three hundred one million, four hundred seventy-two thousand, seven hundred four".