72176614272 has 1152 divisors, whose sum is σ = 274271961600. Its totient is φ = 18776862720.

The previous prime is 72176614271. The next prime is 72176614277. The reversal of 72176614272 is 27241667127.

72176614272 is a `hidden beast` number, since 7 + 2 + 1 + 7 + 6 + 614 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72176614271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1016571997 + ... + 1016572067.

It is an arithmetic number, because the mean of its divisors is an integer number (238083300).

Almost surely, 2^72176614272 is an apocalyptic number.

72176614272 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 72176614272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137135980800).

72176614272 is an abundant number, since it is smaller than the sum of its proper divisors (202095347328).

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

72176614272 is a wasteful number, since it uses less digits than its factorization.

72176614272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 72176614272 in words is "seventy-two billion, one hundred seventy-six million, six hundred fourteen thousand, two hundred seventy-two".