72988361694048 has 96 divisors (see below), whose sum is σ = 201865659480576. Its totient is φ = 23045713118208.

The previous prime is 72988361694013. The next prime is 72988361694067. The reversal of 72988361694048 is 84049616388927.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160240165 + ... + 160695012.

It is an arithmetic number, because the mean of its divisors is an integer number (2102767286256).

Almost surely, 2^{72988361694048} is an apocalyptic number.

It is an amenable number.

72988361694048 is an abundant number, since it is smaller than the sum of its proper divisors (128877297786528).

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

72988361694048 is a wasteful number, since it uses less digits than its factorization.

72988361694048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320935316 (or 320935308 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 75.

The spelling of 72988361694048 in words is "seventy-two trillion, nine hundred eighty-eight billion, three hundred sixty-one million, six hundred ninety-four thousand, forty-eight".