72884302848000 has 3360 divisors, whose sum is σ = 321516369757440. Its totient is φ = 16375932518400.

The previous prime is 72884302847977. The next prime is 72884302848041. The reversal of 72884302848000 is 84820348827.

72884302848000 is a `hidden beast` number, since 7 + 288 + 4 + 3 + 0 + 284 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×72884302848000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 321076223887 + ... + 321076224113.

Almost surely, 2^{72884302848000} is an apocalyptic number.

72884302848000 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 72884302848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160758184878720).

72884302848000 is an abundant number, since it is smaller than the sum of its proper divisors (248632066909440).

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

72884302848000 is an equidigital number, since it uses as much as digits as its factorization.

72884302848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 72884302848000 in words is "seventy-two trillion, eight hundred eighty-four billion, three hundred two million, eight hundred forty-eight thousand".