72018407010816 has 720 divisors, whose sum is σ = 250898042435040. Its totient is φ = 20563695452160.

The previous prime is 72018407010787. The next prime is 72018407010827. The reversal of 72018407010816 is 61801070481027.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13905849315 + ... + 13905854493.

It is an arithmetic number, because the mean of its divisors is an integer number (348469503382).

Almost surely, 2^{72018407010816} 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 72018407010816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125449021217520).

72018407010816 is an abundant number, since it is smaller than the sum of its proper divisors (178879635424224).

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

72018407010816 is an equidigital number, since it uses as much as digits as its factorization.

72018407010816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7507 (or 7472 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 72018407010816 in words is "seventy-two trillion, eighteen billion, four hundred seven million, ten thousand, eight hundred sixteen".