72844683230088 has 256 divisors, whose sum is σ = 252388161792000. Its totient is φ = 18912281760000.

The previous prime is 72844683230047. The next prime is 72844683230093. The reversal of 72844683230088 is 88003238644827.

72844683230088 is a `hidden beast` number, since 7 + 2 + 8 + 446 + 83 + 2 + 30 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36465778 + ... + 38411486.

It is an arithmetic number, because the mean of its divisors is an integer number (985891257000).

Almost surely, 2^{72844683230088} 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 72844683230088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126194080896000).

72844683230088 is an abundant number, since it is smaller than the sum of its proper divisors (179543478561912).

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

72844683230088 is a wasteful number, since it uses less digits than its factorization.

72844683230088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947993 (or 1947983 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 72844683230088 in words is "seventy-two trillion, eight hundred forty-four billion, six hundred eighty-three million, two hundred thirty thousand, eighty-eight".