71873833000 has 64 divisors (see below), whose sum is σ = 169114392720. Its totient is φ = 28590624000.

The previous prime is 71873832991. The next prime is 71873833063. The reversal of 71873833000 is 33837817.

It can be written as a sum of positive squares in 8 ways, for example, as 9022340196 + 62851492804 = 94986^2 + 250702^2 .

It is a super-2 number, since 2×71873833000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 17547 + ... + 379546.

Almost surely, 2^71873833000 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 71873833000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84557196360).

71873833000 is an abundant number, since it is smaller than the sum of its proper divisors (97240559720).

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

71873833000 is a wasteful number, since it uses less digits than its factorization.

71873833000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397295 (or 397281 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 71873833000 in words is "seventy-one billion, eight hundred seventy-three million, eight hundred thirty-three thousand".