73131798683720 has 1024 divisors, whose sum is σ = 208393371648000. Its totient is φ = 22568664268800.

The previous prime is 73131798683707. The next prime is 73131798683729. The reversal of 73131798683720 is 2738689713137.

It is not an unprimeable number, because it can be changed into a prime (73131798683729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 238214327807 + ... + 238214328113.

It is an arithmetic number, because the mean of its divisors is an integer number (203509152000).

Almost surely, 2^{73131798683720} is an apocalyptic number.

73131798683720 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 73131798683720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104196685824000).

73131798683720 is an abundant number, since it is smaller than the sum of its proper divisors (135261572964280).

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

73131798683720 is a wasteful number, since it uses less digits than its factorization.

73131798683720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 65.

The spelling of 73131798683720 in words is "seventy-three trillion, one hundred thirty-one billion, seven hundred ninety-eight million, six hundred eighty-three thousand, seven hundred twenty".