72338184468480 has 768 divisors, whose sum is σ = 273536040960000. Its totient is φ = 15977625550848.

The previous prime is 72338184468461. The next prime is 72338184468553. The reversal of 72338184468480 is 8486448183327.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×72338184468480² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 798398221 + ... + 798488819.

It is an arithmetic number, because the mean of its divisors is an integer number (356166720000).

Almost surely, 2^{72338184468480} is an apocalyptic number.

72338184468480 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 72338184468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136768020480000).

72338184468480 is an abundant number, since it is smaller than the sum of its proper divisors (201197856491520).

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

72338184468480 is a wasteful number, since it uses less digits than its factorization.

72338184468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90762 (or 90742 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 66.

The spelling of 72338184468480 in words is "seventy-two trillion, three hundred thirty-eight billion, one hundred eighty-four million, four hundred sixty-eight thousand, four hundred eighty".