72432555440000 has 320 divisors, whose sum is σ = 216921920265600. Its totient is φ = 23526961920000.

The previous prime is 72432555439967. The next prime is 72432555440029. The reversal of 72432555440000 is 4455523427.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 72432555440000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7236215 + ... + 14043785.

It is an arithmetic number, because the mean of its divisors is an integer number (677881000830).

Almost surely, 2^{72432555440000} is an apocalyptic number.

72432555440000 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 72432555440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108460960132800).

72432555440000 is an abundant number, since it is smaller than the sum of its proper divisors (144489364825600).

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

72432555440000 is an equidigital number, since it uses as much as digits as its factorization.

72432555440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6807631 (or 6807604 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 41.

The spelling of 72432555440000 in words is "seventy-two trillion, four hundred thirty-two billion, five hundred fifty-five million, four hundred forty thousand".