72381879571608 has 320 divisors, whose sum is σ = 213791253516000. Its totient is φ = 22690593058176.

The previous prime is 72381879571571. The next prime is 72381879571619. The reversal of 72381879571608 is 80617597818327.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

72381879571608 is a `hidden beast` number, since 7 + 2 + 3 + 8 + 1 + 8 + 7 + 9 + 5 + 7 + 1 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 72381879571608 = 5206³ + 41648³ = 23427³ + 39045³.

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 79 ways as a sum of consecutive naturals, for example, 528334887316 + ... + 528334887452.

Almost surely, 2^{72381879571608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72381879571608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106895626758000).

72381879571608 is an abundant number, since it is smaller than the sum of its proper divisors (141409373944392).

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

72381879571608 is an frugal number, since it uses more digits than its factorization.

72381879571608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 72381879571608 in words is "seventy-two trillion, three hundred eighty-one billion, eight hundred seventy-nine million, five hundred seventy-one thousand, six hundred eight".