72157140849 has 16 divisors (see below), whose sum is σ = 104237952192. Its totient is φ = 44222158848.

The previous prime is 72157140821. The next prime is 72157140871. The reversal of 72157140849 is 94804175127.

It is not a de Polignac number, because 72157140849 - 2¹⁶ = 72157075313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72157140798 and 72157140807.

It is not an unprimeable number, because it can be changed into a prime (72157140749) 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 15 ways as a sum of consecutive naturals, for example, 16449504 + ... + 16453889.

It is an arithmetic number, because the mean of its divisors is an integer number (6514872012).

Almost surely, 2^72157140849 is an apocalyptic number.

It is an amenable number.

72157140849 is a deficient number, since it is larger than the sum of its proper divisors (32080811343).

72157140849 is a wasteful number, since it uses less digits than its factorization.

72157140849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32903456.

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 72157140849 in words is "seventy-two billion, one hundred fifty-seven million, one hundred forty thousand, eight hundred forty-nine".