72504253440 has 440 divisors, whose sum is σ = 263221928640. Its totient is φ = 19081101312.

The previous prime is 72504253439. The next prime is 72504253453. The reversal of 72504253440 is 4435240527.

72504253440 is a `hidden beast` number, since 72 + 50 + 4 + 2 + 534 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72504253395 and 72504253404.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 32761774 + ... + 32763986.

It is an arithmetic number, because the mean of its divisors is an integer number (598231656).

Almost surely, 2^72504253440 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 72504253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131610964320).

72504253440 is an abundant number, since it is smaller than the sum of its proper divisors (190717675200).

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

72504253440 is a wasteful number, since it uses less digits than its factorization.

72504253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

Adding to 72504253440 its reverse (4435240527), we get a palindrome (76939493967).

The spelling of 72504253440 in words is "seventy-two billion, five hundred four million, two hundred fifty-three thousand, four hundred forty".