72289566720 has 1440 divisors, whose sum is σ = 322741843200. Its totient is φ = 15259926528.

The previous prime is 72289566647. The next prime is 72289566731. The reversal of 72289566720 is 2766598227.

72289566720 is a `hidden beast` number, since 7 + 2 + 2 + 8 + 9 + 566 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×72289566720³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2492743666 + ... + 2492743694.

It is an arithmetic number, because the mean of its divisors is an integer number (224126280).

Almost surely, 2^72289566720 is an apocalyptic number.

72289566720 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 72289566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161370921600).

72289566720 is an abundant number, since it is smaller than the sum of its proper divisors (250452276480).

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

72289566720 is a wasteful number, since it uses less digits than its factorization.

72289566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 72289566720 in words is "seventy-two billion, two hundred eighty-nine million, five hundred sixty-six thousand, seven hundred twenty".