72459878400000 has 3024 divisors, whose sum is σ = 333949922587008. Its totient is φ = 15288238080000.

The previous prime is 72459878399981. The next prime is 72459878400001. The reversal of 72459878400000 is 487895427.

It is a happy number.

72459878400000 is a `hidden beast` number, since 7 + 2 + 4 + 598 + 7 + 8 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 72459878400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72459878400001) 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 143 ways as a sum of consecutive naturals, for example, 5573836799994 + ... + 5573836800006.

Almost surely, 2^{72459878400000} is an apocalyptic number.

72459878400000 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 72459878400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166974961293504).

72459878400000 is an abundant number, since it is smaller than the sum of its proper divisors (261490044187008).

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

72459878400000 is an frugal number, since it uses more digits than its factorization.

72459878400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 72459878400000 in words is "seventy-two trillion, four hundred fifty-nine billion, eight hundred seventy-eight million, four hundred thousand".