72812074527 has 16 divisors (see below), whose sum is σ = 109479738880. Its totient is φ = 47816883576.

The previous prime is 72812074477. The next prime is 72812074547. The reversal of 72812074527 is 72547021827.

72812074527 is a `hidden beast` number, since 72 + 8 + 120 + 7 + 452 + 7 = 666.

It is not a de Polignac number, because 72812074527 - 2¹² = 72812070431 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72812074547) 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, 20123143 + ... + 20126760.

It is an arithmetic number, because the mean of its divisors is an integer number (6842483680).

Almost surely, 2^72812074527 is an apocalyptic number.

72812074527 is a deficient number, since it is larger than the sum of its proper divisors (36667664353).

72812074527 is a wasteful number, since it uses less digits than its factorization.

72812074527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40249979 (or 40249973 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 72812074527 in words is "seventy-two billion, eight hundred twelve million, seventy-four thousand, five hundred twenty-seven".