71647728800 has 72 divisors (see below), whose sum is σ = 175293647676. Its totient is φ = 28596234240.

The previous prime is 71647728781. The next prime is 71647728827. The reversal of 71647728800 is 882774617.

It can be written as a sum of positive squares in 6 ways, for example, as 30822718096 + 40825010704 = 175564^2 + 202052^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267614 + ... + 463586.

Almost surely, 2^71647728800 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 71647728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87646823838).

71647728800 is an abundant number, since it is smaller than the sum of its proper divisors (103645918876).

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

71647728800 is a wasteful number, since it uses less digits than its factorization.

71647728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196450 (or 196437 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 50.

The spelling of 71647728800 in words is "seventy-one billion, six hundred forty-seven million, seven hundred twenty-eight thousand, eight hundred".