73727130446400 has 336 divisors, whose sum is σ = 248496059101376. Its totient is φ = 19123644948480.

The previous prime is 73727130446371. The next prime is 73727130446549. The reversal of 73727130446400 is 464403172737.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73727130446400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629888682 + ... + 630005718.

Almost surely, 2^{73727130446400} 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 73727130446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124248029550688).

73727130446400 is an abundant number, since it is smaller than the sum of its proper divisors (174768928654976).

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

73727130446400 is a wasteful number, since it uses less digits than its factorization.

73727130446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120646 (or 120631 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 48.

The spelling of 73727130446400 in words is "seventy-three trillion, seven hundred twenty-seven billion, one hundred thirty million, four hundred forty-six thousand, four hundred".