72504609408 has 1536 divisors, whose sum is σ = 300058214400. Its totient is φ = 16787865600.

The previous prime is 72504609403. The next prime is 72504609449. The reversal of 72504609408 is 80490640527.

It is a happy number.

It is a super-2 number, since 2×72504609408² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72504609403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1542651241 + ... + 1542651287.

It is an arithmetic number, because the mean of its divisors is an integer number (195350400).

Almost surely, 2^72504609408 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 72504609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150029107200).

72504609408 is an abundant number, since it is smaller than the sum of its proper divisors (227553604992).

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

72504609408 is a wasteful number, since it uses less digits than its factorization.

72504609408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 72504609408 in words is "seventy-two billion, five hundred four million, six hundred nine thousand, four hundred eight".