72213768000 has 1008 divisors, whose sum is σ = 295414671552. Its totient is φ = 17449344000.

The previous prime is 72213767987. The next prime is 72213768001. The reversal of 72213768000 is 86731227.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72213768001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 235223847 + ... + 235224153.

Almost surely, 2^72213768000 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 72213768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147707335776).

72213768000 is an abundant number, since it is smaller than the sum of its proper divisors (223200903552).

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

72213768000 is a wasteful number, since it uses less digits than its factorization.

72213768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 72213768000 in words is "seventy-two billion, two hundred thirteen million, seven hundred sixty-eight thousand".