72428020990848 has 384 divisors, whose sum is σ = 210661308018720. Its totient is φ = 23884579749888.

The previous prime is 72428020990777. The next prime is 72428020990883. The reversal of 72428020990848 is 84809902082427.

72428020990848 is a `hidden beast` number, since 7 + 24 + 280 + 209 + 90 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 56717321986 + ... + 56717323262.

Almost surely, 2^{72428020990848} 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 72428020990848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105330654009360).

72428020990848 is an abundant number, since it is smaller than the sum of its proper divisors (138233287027872).

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

72428020990848 is a wasteful number, since it uses less digits than its factorization.

72428020990848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 72428020990848 in words is "seventy-two trillion, four hundred twenty-eight billion, twenty million, nine hundred ninety thousand, eight hundred forty-eight".