71838450528 has 192 divisors, whose sum is σ = 209972109312. Its totient is φ = 21362227200.

The previous prime is 71838450517. The next prime is 71838450581. The reversal of 71838450528 is 82505483817.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6967425 + ... + 6977727.

It is an arithmetic number, because the mean of its divisors is an integer number (1093604736).

Almost surely, 2^71838450528 is an apocalyptic number.

71838450528 is a gapful number since it is divisible by the number (78) 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 71838450528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104986054656).

71838450528 is an abundant number, since it is smaller than the sum of its proper divisors (138133658784).

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

71838450528 is a wasteful number, since it uses less digits than its factorization.

71838450528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10517 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 71838450528 in words is "seventy-one billion, eight hundred thirty-eight million, four hundred fifty thousand, five hundred twenty-eight".