72682176528000 has 2048 divisors, whose sum is σ = 304219109376000. Its totient is φ = 16908134400000.

The previous prime is 72682176527977. The next prime is 72682176528001. The reversal of 72682176528000 is 82567128627.

72682176528000 is a `hidden beast` number, since 7 + 26 + 8 + 21 + 76 + 528 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72682176528001) 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 255 ways as a sum of consecutive naturals, for example, 80134703547 + ... + 80134704453.

It is an arithmetic number, because the mean of its divisors is an integer number (148544487000).

Almost surely, 2^{72682176528000} 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 72682176528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152109554688000).

72682176528000 is an abundant number, since it is smaller than the sum of its proper divisors (231536932848000).

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

72682176528000 is a wasteful number, since it uses less digits than its factorization.

72682176528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1700 counting only the distinct ones).

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

The spelling of 72682176528000 in words is "seventy-two trillion, six hundred eighty-two billion, one hundred seventy-six million, five hundred twenty-eight thousand".