71302032480 has 288 divisors, whose sum is σ = 265176446976. Its totient is φ = 16054004736.

The previous prime is 71302032479. The next prime is 71302032511. The reversal of 71302032480 is 8423020317.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1553217 + ... + 1598463.

It is an arithmetic number, because the mean of its divisors is an integer number (920751552).

Almost surely, 2^71302032480 is an apocalyptic number.

71302032480 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 71302032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132588223488).

71302032480 is an abundant number, since it is smaller than the sum of its proper divisors (193874414496).

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

71302032480 is a wasteful number, since it uses less digits than its factorization.

71302032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45346 (or 45331 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 71302032480 its reverse (8423020317), we get a palindrome (79725052797).

The spelling of 71302032480 in words is "seventy-one billion, three hundred two million, thirty-two thousand, four hundred eighty".