71739957432 has 512 divisors, whose sum is σ = 234850129920. Its totient is φ = 17907056640.

The previous prime is 71739957413. The next prime is 71739957451. The reversal of 71739957432 is 23475993717.

It is an interprime number because it is at equal distance from previous prime (71739957413) and next prime (71739957451).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 258988878 + ... + 258989154.

It is an arithmetic number, because the mean of its divisors is an integer number (458691660).

Almost surely, 2^71739957432 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 71739957432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117425064960).

71739957432 is an abundant number, since it is smaller than the sum of its proper divisors (163110172488).

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

71739957432 is a wasteful number, since it uses less digits than its factorization.

71739957432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its digits is 10001880, while the sum is 57.

The spelling of 71739957432 in words is "seventy-one billion, seven hundred thirty-nine million, nine hundred fifty-seven thousand, four hundred thirty-two".