72888052995968 has 384 divisors, whose sum is σ = 178738562455200. Its totient is φ = 29476477255680.

The previous prime is 72888052995859. The next prime is 72888052995973. The reversal of 72888052995968 is 86959925088827.

It is a self number, because there is not a number n which added to its sum of digits gives 72888052995968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1741920455 + ... + 1741962297.

Almost surely, 2^{72888052995968} 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 72888052995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369281227600).

72888052995968 is an abundant number, since it is smaller than the sum of its proper divisors (105850509459232).

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

72888052995968 is a wasteful number, since it uses less digits than its factorization.

72888052995968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42118 (or 42099 counting only the distinct ones).

The product of its (nonzero) digits is 12541132800, while the sum is 86.

The spelling of 72888052995968 in words is "seventy-two trillion, eight hundred eighty-eight billion, fifty-two million, nine hundred ninety-five thousand, nine hundred sixty-eight".