72160680516192 has 384 divisors, whose sum is σ = 214394942361600. Its totient is φ = 23608877580288.

The previous prime is 72160680516173. The next prime is 72160680516233. The reversal of 72160680516192 is 29161508606127.

It is a happy number.

72160680516192 is a `hidden beast` number, since 7 + 2 + 1 + 60 + 68 + 0 + 516 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8119797573 + ... + 8119806459.

It is an arithmetic number, because the mean of its divisors is an integer number (558320162400).

Almost surely, 2^{72160680516192} is an apocalyptic number.

72160680516192 is a gapful number since it is divisible by the number (72) 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 72160680516192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107197471180800).

72160680516192 is an abundant number, since it is smaller than the sum of its proper divisors (142234261845408).

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

72160680516192 is a wasteful number, since it uses less digits than its factorization.

72160680516192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9675 (or 9661 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 72160680516192 in words is "seventy-two trillion, one hundred sixty billion, six hundred eighty million, five hundred sixteen thousand, one hundred ninety-two".