72822758400 has 1320 divisors, whose sum is σ = 320645682720. Its totient is φ = 15978332160.

The previous prime is 72822758311. The next prime is 72822758413. The reversal of 72822758400 is 485722827.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 420940714 + ... + 420940886.

It is an arithmetic number, because the mean of its divisors is an integer number (242913396).

Almost surely, 2^72822758400 is an apocalyptic number.

72822758400 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 72822758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160322841360).

72822758400 is an abundant number, since it is smaller than the sum of its proper divisors (247822924320).

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

72822758400 is a wasteful number, since it uses less digits than its factorization.

72822758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 72822758400 in words is "seventy-two billion, eight hundred twenty-two million, seven hundred fifty-eight thousand, four hundred".