72851016735 has 32 divisors (see below), whose sum is σ = 148014766080. Its totient is φ = 33303321504.

The previous prime is 72851016727. The next prime is 72851016781. The reversal of 72851016735 is 53761015827.

It is a happy number.

72851016735 is a `hidden beast` number, since 72 + 8 + 510 + 1 + 67 + 3 + 5 = 666.

It is not a de Polignac number, because 72851016735 - 2³ = 72851016727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 38544567 + ... + 38546456.

It is an arithmetic number, because the mean of its divisors is an integer number (4625461440).

Almost surely, 2^72851016735 is an apocalyptic number.

72851016735 is an abundant number, since it is smaller than the sum of its proper divisors (75163749345).

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

72851016735 is a wasteful number, since it uses less digits than its factorization.

72851016735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77091044 (or 77091038 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 72851016735 in words is "seventy-two billion, eight hundred fifty-one million, sixteen thousand, seven hundred thirty-five".