72368869248 has 192 divisors, whose sum is σ = 234020011680. Its totient is φ = 21299097600.

The previous prime is 72368869217. The next prime is 72368869297. The reversal of 72368869248 is 84296886327.

72368869248 is a `hidden beast` number, since 72 + 368 + 86 + 92 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239398 + ... + 449498.

Almost surely, 2^72368869248 is an apocalyptic number.

72368869248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72368869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117010005840).

72368869248 is an abundant number, since it is smaller than the sum of its proper divisors (161651142432).

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

72368869248 is a wasteful number, since it uses less digits than its factorization.

72368869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210157 (or 210142 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 72368869248 in words is "seventy-two billion, three hundred sixty-eight million, eight hundred sixty-nine thousand, two hundred forty-eight".