72767312760000 has 560 divisors, whose sum is σ = 243603592572384. Its totient is φ = 19162472448000.

The previous prime is 72767312759903. The next prime is 72767312760133. The reversal of 72767312760000 is 6721376727.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3756110314 + ... + 3756129686.

Almost surely, 2^{72767312760000} 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 72767312760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121801796286192).

72767312760000 is an abundant number, since it is smaller than the sum of its proper divisors (170836279812384).

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

72767312760000 is a wasteful number, since it uses less digits than its factorization.

72767312760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19798 (or 19773 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 48.

The spelling of 72767312760000 in words is "seventy-two trillion, seven hundred sixty-seven billion, three hundred twelve million, seven hundred sixty thousand".