72822866688 has 432 divisors, whose sum is σ = 249739386624. Its totient is φ = 20117053440.

The previous prime is 72822866671. The next prime is 72822866747. The reversal of 72822866688 is 88666822827.

It is a super-4 number, since 4×72822866688⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27344845 + ... + 27347507.

It is an arithmetic number, because the mean of its divisors is an integer number (578100432).

Almost surely, 2^72822866688 is an apocalyptic number.

72822866688 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 72822866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124869693312).

72822866688 is an abundant number, since it is smaller than the sum of its proper divisors (176916519936).

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

72822866688 is a wasteful number, since it uses less digits than its factorization.

72822866688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2775 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 72822866688 in words is "seventy-two billion, eight hundred twenty-two million, eight hundred sixty-six thousand, six hundred eighty-eight".