72398410318080 has 3456 divisors, whose sum is σ = 347128104960000. Its totient is φ = 13756043427840.

The previous prime is 72398410318067. The next prime is 72398410318081. The reversal of 72398410318080 is 8081301489327.

It is a happy number.

72398410318080 is a `hidden beast` number, since 7 + 239 + 8 + 4 + 10 + 318 + 0 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (72398410318081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23949191449 + ... + 23949194471.

It is an arithmetic number, because the mean of its divisors is an integer number (100442160000).

Almost surely, 2^{72398410318080} is an apocalyptic number.

72398410318080 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 72398410318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173564052480000).

72398410318080 is an abundant number, since it is smaller than the sum of its proper divisors (274729694641920).

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

72398410318080 is a wasteful number, since it uses less digits than its factorization.

72398410318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 72398410318080 in words is "seventy-two trillion, three hundred ninety-eight billion, four hundred ten million, three hundred eighteen thousand, eighty".