72822624000 has 864 divisors, whose sum is σ = 285933001536. Its totient is φ = 16377446400.

The previous prime is 72822623947. The next prime is 72822624019. The reversal of 72822624000 is 42622827.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 531551932 + ... + 531552068.

It is an arithmetic number, because the mean of its divisors is an integer number (330940974).

Almost surely, 2^72822624000 is an apocalyptic number.

72822624000 is a gapful number since it is divisible by the number (70) 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 72822624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142966500768).

72822624000 is an abundant number, since it is smaller than the sum of its proper divisors (213110377536).

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

72822624000 is a wasteful number, since it uses less digits than its factorization.

72822624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 72822624000 in words is "seventy-two billion, eight hundred twenty-two million, six hundred twenty-four thousand".