72338664384000 has 5120 divisors, whose sum is σ = 337393034035200. Its totient is φ = 14906032128000.

The previous prime is 72338664383969. The next prime is 72338664384029. The reversal of 72338664384000 is 48346683327.

72338664384000 is a `hidden beast` number, since 72 + 3 + 3 + 86 + 64 + 38 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 915679295961 + ... + 915679296039.

It is an arithmetic number, because the mean of its divisors is an integer number (65897076960).

Almost surely, 2^{72338664384000} is an apocalyptic number.

72338664384000 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 72338664384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168696517017600).

72338664384000 is an abundant number, since it is smaller than the sum of its proper divisors (265054369651200).

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

72338664384000 is a wasteful number, since it uses less digits than its factorization.

72338664384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 72338664384000 in words is "seventy-two trillion, three hundred thirty-eight billion, six hundred sixty-four million, three hundred eighty-four thousand".