73927114928128 has 312 divisors, whose sum is σ = 185805054729504. Its totient is φ = 28788275281920.

The previous prime is 73927114928101. The next prime is 73927114928171. The reversal of 73927114928128 is 82182941172937.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 73927114928128.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9134694450 + ... + 9134702542.

Almost surely, 2^{73927114928128} 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 73927114928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92902527364752).

73927114928128 is an abundant number, since it is smaller than the sum of its proper divisors (111877939801376).

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

73927114928128 is a wasteful number, since it uses less digits than its factorization.

73927114928128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10779 (or 10746 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 64.

The spelling of 73927114928128 in words is "seventy-three trillion, nine hundred twenty-seven billion, one hundred fourteen million, nine hundred twenty-eight thousand, one hundred twenty-eight".