72814527249849 has 96 divisors (see below), whose sum is σ = 142844987566080. Its totient is φ = 36181131386400.

The previous prime is 72814527249839. The next prime is 72814527249853. The reversal of 72814527249849 is 94894272541827.

72814527249849 is a `hidden beast` number, since 7 + 2 + 8 + 1 + 4 + 527 + 2 + 4 + 98 + 4 + 9 = 666.

It is not a de Polignac number, because 72814527249849 - 2²⁰ = 72814526201273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72814527249829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108434917 + ... + 109104354.

It is an arithmetic number, because the mean of its divisors is an integer number (1487968620480).

Almost surely, 2^{72814527249849} is an apocalyptic number.

It is an amenable number.

72814527249849 is a deficient number, since it is larger than the sum of its proper divisors (70030460316231).

72814527249849 is a wasteful number, since it uses less digits than its factorization.

72814527249849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217539328 (or 217539315 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 72814527249849 in words is "seventy-two trillion, eight hundred fourteen billion, five hundred twenty-seven million, two hundred forty-nine thousand, eight hundred forty-nine".