72894573635201 has 32 divisors (see below), whose sum is σ = 76780230912000. Its totient is φ = 69070973545728.

The previous prime is 72894573635183. The next prime is 72894573635227. The reversal of 72894573635201 is 10253637549827.

It is not a de Polignac number, because 72894573635201 - 2⁶ = 72894573635137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72894573635251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3271884980 + ... + 3271907258.

It is an arithmetic number, because the mean of its divisors is an integer number (2399382216000).

It is a 1-persistent number, because it is pandigital, but 2⋅72894573635201 = 145789147270402 is not.

Almost surely, 2^{72894573635201} is an apocalyptic number.

It is an amenable number.

72894573635201 is a deficient number, since it is larger than the sum of its proper divisors (3885657276799).

72894573635201 is a wasteful number, since it uses less digits than its factorization.

72894573635201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24653.

The product of its (nonzero) digits is 76204800, while the sum is 62.

The spelling of 72894573635201 in words is "seventy-two trillion, eight hundred ninety-four billion, five hundred seventy-three million, six hundred thirty-five thousand, two hundred one".