71238258432 has 720 divisors, whose sum is σ = 249017674752. Its totient is φ = 20035952640.

The previous prime is 71238258407. The next prime is 71238258451. The reversal of 71238258432 is 23485283217.

71238258432 is a `hidden beast` number, since 7 + 1 + 2 + 38 + 2 + 584 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 194109513 + ... + 194109879.

Almost surely, 2^71238258432 is an apocalyptic number.

71238258432 is a gapful number since it is divisible by the number (72) 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 71238258432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124508837376).

71238258432 is an abundant number, since it is smaller than the sum of its proper divisors (177779416320).

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

71238258432 is a wasteful number, since it uses less digits than its factorization.

71238258432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 443 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 71238258432 in words is "seventy-one billion, two hundred thirty-eight million, two hundred fifty-eight thousand, four hundred thirty-two".