72141912130176 has 2048 divisors, whose sum is σ = 260113708800000. Its totient is φ = 19910302433280.

The previous prime is 72141912130133. The next prime is 72141912130199. The reversal of 72141912130176 is 67103121914127.

72141912130176 is a `hidden beast` number, since 7 + 2 + 1 + 419 + 1 + 213 + 0 + 17 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 638424001096 + ... + 638424001208.

It is an arithmetic number, because the mean of its divisors is an integer number (127008646875).

Almost surely, 2^{72141912130176} 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 72141912130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130056854400000).

72141912130176 is an abundant number, since it is smaller than the sum of its proper divisors (187971796669824).

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

72141912130176 is an equidigital number, since it uses as much as digits as its factorization.

72141912130176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 72141912130176 in words is "seventy-two trillion, one hundred forty-one billion, nine hundred twelve million, one hundred thirty thousand, one hundred seventy-six".