71484067728 has 160 divisors (see below), whose sum is σ = 208806337920. Its totient is φ = 23409492480.

The previous prime is 71484067723. The next prime is 71484067751. The reversal of 71484067728 is 82776048417.

71484067728 is a `hidden beast` number, since 7 + 148 + 406 + 77 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (71484067723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11487658 + ... + 11493878.

It is an arithmetic number, because the mean of its divisors is an integer number (1305039612).

Almost surely, 2^71484067728 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 71484067728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104403168960).

71484067728 is an abundant number, since it is smaller than the sum of its proper divisors (137322270192).

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

71484067728 is a wasteful number, since it uses less digits than its factorization.

71484067728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 71484067728 in words is "seventy-one billion, four hundred eighty-four million, sixty-seven thousand, seven hundred twenty-eight".