71923842432 has 320 divisors, whose sum is σ = 240541630560. Its totient is φ = 21167308800.

The previous prime is 71923842407. The next prime is 71923842461. The reversal of 71923842432 is 23424832917.

71923842432 is a `hidden beast` number, since 7 + 192 + 3 + 8 + 424 + 32 = 666.

It is a super-2 number, since 2×71923842432² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3088432 + ... + 3111632.

Almost surely, 2^71923842432 is an apocalyptic number.

71923842432 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 71923842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120270815280).

71923842432 is an abundant number, since it is smaller than the sum of its proper divisors (168617788128).

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

71923842432 is a wasteful number, since it uses less digits than its factorization.

71923842432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23263 (or 23242 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 71923842432 in words is "seventy-one billion, nine hundred twenty-three million, eight hundred forty-two thousand, four hundred thirty-two".