72824542560 has 1536 divisors, whose sum is σ = 335138549760. Its totient is φ = 14332723200.

The previous prime is 72824542547. The next prime is 72824542639. The reversal of 72824542560 is 6524542827.

72824542560 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 45 + 42 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 750768432 + ... + 750768528.

It is an arithmetic number, because the mean of its divisors is an integer number (218189160).

Almost surely, 2^72824542560 is an apocalyptic number.

72824542560 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 72824542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167569274880).

72824542560 is an abundant number, since it is smaller than the sum of its proper divisors (262314007200).

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

72824542560 is a wasteful number, since it uses less digits than its factorization.

72824542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 72824542560 in words is "seventy-two billion, eight hundred twenty-four million, five hundred forty-two thousand, five hundred sixty".