72525643204608 has 2304 divisors, whose sum is σ = 261556007731200. Its totient is φ = 19832905728000.

The previous prime is 72525643204507. The next prime is 72525643204621. The reversal of 72525643204608 is 80640234652527.

72525643204608 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 5 + 6 + 4 + 3 + 20 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 267622299513 + ... + 267622299783.

It is an arithmetic number, because the mean of its divisors is an integer number (113522572800).

Almost surely, 2^{72525643204608} 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 72525643204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130778003865600).

72525643204608 is an abundant number, since it is smaller than the sum of its proper divisors (189030364526592).

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

72525643204608 is a wasteful number, since it uses less digits than its factorization.

72525643204608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 72525643204608 in words is "seventy-two trillion, five hundred twenty-five billion, six hundred forty-three million, two hundred four thousand, six hundred eight".