72136875142080 has 672 divisors, whose sum is σ = 287877727747584. Its totient is φ = 16237887823872.

The previous prime is 72136875142049. The next prime is 72136875142097. The reversal of 72136875142080 is 8024157863127.

72136875142080 is a `hidden beast` number, since 7 + 2 + 1 + 368 + 75 + 1 + 4 + 208 + 0 = 666.

72136875142080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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, 9837290094 + ... + 9837297426.

Almost surely, 2^{72136875142080} is an apocalyptic number.

72136875142080 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 72136875142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143938863873792).

72136875142080 is an abundant number, since it is smaller than the sum of its proper divisors (215740852605504).

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

72136875142080 is a wasteful number, since it uses less digits than its factorization.

72136875142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14713 (or 14700 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 72136875142080 in words is "seventy-two trillion, one hundred thirty-six billion, eight hundred seventy-five million, one hundred forty-two thousand, eighty".