72718132838400 has 1080 divisors, whose sum is σ = 307890392816160. Its totient is φ = 16620862832640.

The previous prime is 72718132838389. The next prime is 72718132838441. The reversal of 72718132838400 is 483823181727.

72718132838400 is a `hidden beast` number, since 7 + 2 + 7 + 181 + 3 + 28 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1857926031 + ... + 1857965169.

It is an arithmetic number, because the mean of its divisors is an integer number (285083697052).

Almost surely, 2^{72718132838400} is an apocalyptic number.

72718132838400 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 72718132838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153945196408080).

72718132838400 is an abundant number, since it is smaller than the sum of its proper divisors (235172259977760).

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

72718132838400 is an frugal number, since it uses more digits than its factorization.

72718132838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39202 (or 39156 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 72718132838400 in words is "seventy-two trillion, seven hundred eighteen billion, one hundred thirty-two million, eight hundred thirty-eight thousand, four hundred".