72771042816000 has 2288 divisors, whose sum is σ = 285209127272160. Its totient is φ = 18510712012800.

The previous prime is 72771042815983. The next prime is 72771042816019. The reversal of 72771042816000 is 61824017727.

72771042816000 is a `hidden beast` number, since 7 + 2 + 7 + 7 + 10 + 4 + 28 + 1 + 600 + 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 175 ways as a sum of consecutive naturals, for example, 876759551959 + ... + 876759552041.

Almost surely, 2^{72771042816000} 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 72771042816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142604563636080).

72771042816000 is an abundant number, since it is smaller than the sum of its proper divisors (212438084456160).

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

72771042816000 is an frugal number, since it uses more digits than its factorization.

72771042816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 72771042816000 in words is "seventy-two trillion, seven hundred seventy-one billion, forty-two million, eight hundred sixteen thousand".