72287873280 has 1728 divisors, whose sum is σ = 330174351360. Its totient is φ = 15049359360.

The previous prime is 72287873267. The next prime is 72287873303. The reversal of 72287873280 is 8237878227.

72287873280 is a `hidden beast` number, since 7 + 2 + 287 + 87 + 3 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2331866865 + ... + 2331866895.

It is an arithmetic number, because the mean of its divisors is an integer number (191073120).

Almost surely, 2^72287873280 is an apocalyptic number.

72287873280 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 72287873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165087175680).

72287873280 is an abundant number, since it is smaller than the sum of its proper divisors (257886478080).

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

72287873280 is an equidigital number, since it uses as much as digits as its factorization.

72287873280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 72287873280 in words is "seventy-two billion, two hundred eighty-seven million, eight hundred seventy-three thousand, two hundred eighty".