72373781920608 has 384 divisors, whose sum is σ = 247419015782400. Its totient is φ = 20151295105536.

The previous prime is 72373781920591. The next prime is 72373781920613. The reversal of 72373781920608 is 80602918737327.

72373781920608 is a `hidden beast` number, since 7 + 2 + 3 + 7 + 3 + 7 + 8 + 19 + 2 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113851135 + ... + 114485057.

It is an arithmetic number, because the mean of its divisors is an integer number (644320353600).

Almost surely, 2^{72373781920608} 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 72373781920608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123709507891200).

72373781920608 is an abundant number, since it is smaller than the sum of its proper divisors (175045233861792).

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

72373781920608 is a wasteful number, since it uses less digits than its factorization.

72373781920608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634431 (or 634417 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 72373781920608 in words is "seventy-two trillion, three hundred seventy-three billion, seven hundred eighty-one million, nine hundred twenty thousand, six hundred eight".