71739654912 has 180 divisors, whose sum is σ = 215997942160. Its totient is φ = 23680346112.

The previous prime is 71739654901. The next prime is 71739654949. The reversal of 71739654912 is 21945693717.

71739654912 is a `hidden beast` number, since 7 + 1 + 7 + 3 + 96 + 549 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2119014 + ... + 2152602.

Almost surely, 2^71739654912 is an apocalyptic number.

71739654912 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 71739654912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107998971080).

71739654912 is an abundant number, since it is smaller than the sum of its proper divisors (144258287248).

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

71739654912 is a wasteful number, since it uses less digits than its factorization.

71739654912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33720 (or 33697 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 71739654912 in words is "seventy-one billion, seven hundred thirty-nine million, six hundred fifty-four thousand, nine hundred twelve".