72429565824 has 512 divisors, whose sum is σ = 272233267200. Its totient is φ = 18409420800.

The previous prime is 72429565799. The next prime is 72429565837. The reversal of 72429565824 is 42856592427.

72429565824 is a `hidden beast` number, since 7 + 2 + 4 + 2 + 9 + 56 + 582 + 4 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12504369 + ... + 12510159.

It is an arithmetic number, because the mean of its divisors is an integer number (531705600).

Almost surely, 2^72429565824 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 72429565824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116633600).

72429565824 is an abundant number, since it is smaller than the sum of its proper divisors (199803701376).

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

72429565824 is a wasteful number, since it uses less digits than its factorization.

72429565824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5861 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 72429565824 in words is "seventy-two billion, four hundred twenty-nine million, five hundred sixty-five thousand, eight hundred twenty-four".