73128076764000 has 768 divisors, whose sum is σ = 248412382073856. Its totient is φ = 18794280960000.

The previous prime is 73128076763941. The next prime is 73128076764011. The reversal of 73128076764000 is 46767082137.

It is a happy number.

It is a super-2 number, since 2×73128076764000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16312305759 + ... + 16312310241.

It is an arithmetic number, because the mean of its divisors is an integer number (323453622492).

Almost surely, 2^{73128076764000} 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 73128076764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124206191036928).

73128076764000 is an abundant number, since it is smaller than the sum of its proper divisors (175284305309856).

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

73128076764000 is a wasteful number, since it uses less digits than its factorization.

73128076764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 73128076764000 in words is "seventy-three trillion, one hundred twenty-eight billion, seventy-six million, seven hundred sixty-four thousand".