71673083352 has 192 divisors, whose sum is σ = 210810600000. Its totient is φ = 21868019712.

The previous prime is 71673083347. The next prime is 71673083381. The reversal of 71673083352 is 25338037617.

71673083352 is a `hidden beast` number, since 7 + 1 + 6 + 7 + 308 + 335 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 71673083298 and 71673083307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83632108 + ... + 83632964.

It is an arithmetic number, because the mean of its divisors is an integer number (1097971875).

Almost surely, 2^71673083352 is an apocalyptic number.

71673083352 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 71673083352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105405300000).

71673083352 is an abundant number, since it is smaller than the sum of its proper divisors (139137516648).

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

71673083352 is a wasteful number, since it uses less digits than its factorization.

71673083352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 71673083352 in words is "seventy-one billion, six hundred seventy-three million, eighty-three thousand, three hundred fifty-two".