73057886720 has 480 divisors, whose sum is σ = 222884234496. Its totient is φ = 22759833600.

The previous prime is 73057886719. The next prime is 73057886747. The reversal of 73057886720 is 2768875037.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115780805 + ... + 115781435.

Almost surely, 2^73057886720 is an apocalyptic number.

73057886720 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 73057886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111442117248).

73057886720 is an abundant number, since it is smaller than the sum of its proper divisors (149826347776).

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

73057886720 is a wasteful number, since it uses less digits than its factorization.

73057886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 53.

The spelling of 73057886720 in words is "seventy-three billion, fifty-seven million, eight hundred eighty-six thousand, seven hundred twenty".