71348027520 has 768 divisors, whose sum is σ = 290082320640. Its totient is φ = 14598144000.

The previous prime is 71348027483. The next prime is 71348027521. The reversal of 71348027520 is 2572084317.

It is not an unprimeable number, because it can be changed into a prime (71348027521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118715220 + ... + 118715820.

It is an arithmetic number, because the mean of its divisors is an integer number (377711355).

Almost surely, 2^71348027520 is an apocalyptic number.

71348027520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71348027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145041160320).

71348027520 is an abundant number, since it is smaller than the sum of its proper divisors (218734293120).

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

71348027520 is a wasteful number, since it uses less digits than its factorization.

71348027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 71348027520 in words is "seventy-one billion, three hundred forty-eight million, twenty-seven thousand, five hundred twenty".