72798369408000 has 2112 divisors, whose sum is σ = 298339880716800. Its totient is φ = 17471058739200.

The previous prime is 72798369407993. The next prime is 72798369408013. The reversal of 72798369408000 is 80496389727.

72798369408000 is a `hidden beast` number, since 72 + 7 + 98 + 369 + 40 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22972030416 + ... + 22972033584.

Almost surely, 2^{72798369408000} 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 72798369408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149169940358400).

72798369408000 is an abundant number, since it is smaller than the sum of its proper divisors (225541511308800).

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

72798369408000 is a wasteful number, since it uses less digits than its factorization.

72798369408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 72798369408000 in words is "seventy-two trillion, seven hundred ninety-eight billion, three hundred sixty-nine million, four hundred eight thousand".