71628727456 has 288 divisors, whose sum is σ = 177085440000. Its totient is φ = 28191421440.

The previous prime is 71628727447. The next prime is 71628727459. The reversal of 71628727456 is 65472782617.

It is a junction number, because it is equal to n+sod(n) for n = 71628727397 and 71628727406.

It is not an unprimeable number, because it can be changed into a prime (71628727459) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143544295 + ... + 143544793.

It is an arithmetic number, because the mean of its divisors is an integer number (614880000).

Almost surely, 2^71628727456 is an apocalyptic number.

71628727456 is a gapful number since it is divisible by the number (76) 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 71628727456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88542720000).

71628727456 is an abundant number, since it is smaller than the sum of its proper divisors (105456712544).

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

71628727456 is a wasteful number, since it uses less digits than its factorization.

71628727456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 671 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 55.

The spelling of 71628727456 in words is "seventy-one billion, six hundred twenty-eight million, seven hundred twenty-seven thousand, four hundred fifty-six".