72281765556000 has 7680 divisors, whose sum is σ = 374685321314304. Its totient is φ = 13168189440000.

The previous prime is 72281765555971. The next prime is 72281765556037. The reversal of 72281765556000 is 65556718227.

72281765556000 is a `hidden beast` number, since 7 + 2 + 2 + 8 + 1 + 76 + 5 + 5 + 560 + 0 + 0 = 666.

72281765556000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 990161171964 + ... + 990161172036.

Almost surely, 2^{72281765556000} is an apocalyptic number.

72281765556000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72281765556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187342660657152).

72281765556000 is an abundant number, since it is smaller than the sum of its proper divisors (302403555758304).

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

72281765556000 is a wasteful number, since it uses less digits than its factorization.

72281765556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 72281765556000 in words is "seventy-two trillion, two hundred eighty-one billion, seven hundred sixty-five million, five hundred fifty-six thousand".