71728581657600 has 1584 divisors, whose sum is σ = 311242293468288. Its totient is φ = 15407571271680.

The previous prime is 71728581657589. The next prime is 71728581657619. The reversal of 71728581657600 is 675618582717.

71728581657600 is a `hidden beast` number, since 7 + 1 + 7 + 2 + 8 + 5 + 8 + 16 + 5 + 7 + 600 = 666.

It is a super-2 number, since 2×71728581657600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23387211267 + ... + 23387214333.

Almost surely, 2^{71728581657600} is an apocalyptic number.

71728581657600 is a gapful number since it is divisible by the number (70) 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 71728581657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155621146734144).

71728581657600 is an abundant number, since it is smaller than the sum of its proper divisors (239513711810688).

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

71728581657600 is a wasteful number, since it uses less digits than its factorization.

71728581657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 63.

The spelling of 71728581657600 in words is "seventy-one trillion, seven hundred twenty-eight billion, five hundred eighty-one million, six hundred fifty-seven thousand, six hundred".