72888231680 has 864 divisors, whose sum is σ = 225484922880. Its totient is φ = 22383820800.

The previous prime is 72888231631. The next prime is 72888231683. The reversal of 72888231680 is 8613288827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72888231683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1550813417 + ... + 1550813463.

It is an arithmetic number, because the mean of its divisors is an integer number (260977920).

Almost surely, 2^72888231680 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 72888231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112742461440).

72888231680 is an abundant number, since it is smaller than the sum of its proper divisors (152596691200).

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

72888231680 is a wasteful number, since it uses less digits than its factorization.

72888231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 53.

The spelling of 72888231680 in words is "seventy-two billion, eight hundred eighty-eight million, two hundred thirty-one thousand, six hundred eighty".