71365432320 has 1760 divisors, whose sum is σ = 330228197376. Its totient is φ = 14332723200.

The previous prime is 71365432301. The next prime is 71365432321. The reversal of 71365432320 is 2323456317.

71365432320 is a `hidden beast` number, since 71 + 3 + 6 + 543 + 23 + 20 = 666.

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 (71365432321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1169925090 + ... + 1169925150.

Almost surely, 2^71365432320 is an apocalyptic number.

71365432320 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 71365432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165114098688).

71365432320 is an abundant number, since it is smaller than the sum of its proper divisors (258862765056).

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

71365432320 is a wasteful number, since it uses less digits than its factorization.

71365432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 71365432320 its reverse (2323456317), we get a palindrome (73688888637).

The spelling of 71365432320 in words is "seventy-one billion, three hundred sixty-five million, four hundred thirty-two thousand, three hundred twenty".