72828927360 has 1152 divisors, whose sum is σ = 319983955200. Its totient is φ = 15739121664.

The previous prime is 72828927359. The next prime is 72828927397. The reversal of 72828927360 is 6372982827.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 72828927297 and 72828927306.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 144788869 + ... + 144789371.

It is an arithmetic number, because the mean of its divisors is an integer number (277763850).

Almost surely, 2^72828927360 is an apocalyptic number.

72828927360 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 72828927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159991977600).

72828927360 is an abundant number, since it is smaller than the sum of its proper divisors (247155027840).

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

72828927360 is a wasteful number, since it uses less digits than its factorization.

72828927360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 72828927360 in words is "seventy-two billion, eight hundred twenty-eight million, nine hundred twenty-seven thousand, three hundred sixty".