73131260728320 has 1232 divisors, whose sum is σ = 272436612134400. Its totient is φ = 18808116019200.

The previous prime is 73131260728319. The next prime is 73131260728333. The reversal of 73131260728320 is 2382706213137.

It is a happy number.

73131260728320 is a `hidden beast` number, since 7 + 3 + 1 + 3 + 1 + 2 + 607 + 2 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40381700215 + ... + 40381702025.

Almost surely, 2^{73131260728320} 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 73131260728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136218306067200).

73131260728320 is an abundant number, since it is smaller than the sum of its proper divisors (199305351406080).

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

73131260728320 is a wasteful number, since it uses less digits than its factorization.

73131260728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 73131260728320 in words is "seventy-three trillion, one hundred thirty-one billion, two hundred sixty million, seven hundred twenty-eight thousand, three hundred twenty".