72359684280 has 192 divisors, whose sum is σ = 253387854720. Its totient is φ = 17802547200.

The previous prime is 72359684251. The next prime is 72359684281. The reversal of 72359684280 is 8248695327.

72359684280 is a `hidden beast` number, since 7 + 2 + 3 + 596 + 8 + 42 + 8 + 0 = 666.

It is a super-4 number, since 4×72359684280⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72359684281) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17599425 + ... + 17603535.

It is an arithmetic number, because the mean of its divisors is an integer number (1319728410).

Almost surely, 2^72359684280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72359684280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126693927360).

72359684280 is an abundant number, since it is smaller than the sum of its proper divisors (181028170440).

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

72359684280 is a wasteful number, since it uses less digits than its factorization.

72359684280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 72359684280 in words is "seventy-two billion, three hundred fifty-nine million, six hundred eighty-four thousand, two hundred eighty".