72198122328000 has 672 divisors, whose sum is σ = 268514945986560. Its totient is φ = 18497652480000.

The previous prime is 72198122327977. The next prime is 72198122328019. The reversal of 72198122328000 is 82322189127.

72198122328000 is a `hidden beast` number, since 72 + 1 + 9 + 81 + 223 + 280 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310131645 + ... + 310364355.

It is an arithmetic number, because the mean of its divisors is an integer number (399575812480).

Almost surely, 2^{72198122328000} 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 72198122328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134257472993280).

72198122328000 is an abundant number, since it is smaller than the sum of its proper divisors (196316823658560).

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

72198122328000 is a wasteful number, since it uses less digits than its factorization.

72198122328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232914 (or 232891 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 72198122328000 in words is "seventy-two trillion, one hundred ninety-eight billion, one hundred twenty-two million, three hundred twenty-eight thousand".