72141070176 has 336 divisors, whose sum is σ = 251232887808. Its totient is φ = 19945440000.

The previous prime is 72141070139. The next prime is 72141070193. The reversal of 72141070176 is 67107014127.

72141070176 is a `hidden beast` number, since 7 + 2 + 1 + 410 + 70 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×72141070176² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72141070176.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5055051 + ... + 5069301.

It is an arithmetic number, because the mean of its divisors is an integer number (747716928).

Almost surely, 2^72141070176 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 72141070176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125616443904).

72141070176 is an abundant number, since it is smaller than the sum of its proper divisors (179091817632).

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

72141070176 is a wasteful number, since it uses less digits than its factorization.

72141070176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14317 (or 14294 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 72141070176 in words is "seventy-two billion, one hundred forty-one million, seventy thousand, one hundred seventy-six".