71872748928 has 320 divisors, whose sum is σ = 221326617600. Its totient is φ = 23138638848.

The previous prime is 71872748917. The next prime is 71872748929. The reversal of 71872748928 is 82984727817.

71872748928 is a `hidden beast` number, since 71 + 87 + 2 + 7 + 489 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71872748929) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38495451 + ... + 38497317.

It is an arithmetic number, because the mean of its divisors is an integer number (691645680).

Almost surely, 2^71872748928 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 71872748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110663308800).

71872748928 is an abundant number, since it is smaller than the sum of its proper divisors (149453868672).

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

71872748928 is a wasteful number, since it uses less digits than its factorization.

71872748928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 1998 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 63.

The spelling of 71872748928 in words is "seventy-one billion, eight hundred seventy-two million, seven hundred forty-eight thousand, nine hundred twenty-eight".