72593648137 has 8 divisors (see below), whose sum is σ = 76731443360. Its totient is φ = 68487560640.

The previous prime is 72593648123. The next prime is 72593648207. The reversal of 72593648137 is 73184639527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72593648137 - 2⁷ = 72593648009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72591648137) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7922223 + ... + 7931380.

It is an arithmetic number, because the mean of its divisors is an integer number (9591430420).

Almost surely, 2^72593648137 is an apocalyptic number.

It is an amenable number.

72593648137 is a deficient number, since it is larger than the sum of its proper divisors (4137795223).

72593648137 is a wasteful number, since it uses less digits than its factorization.

72593648137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15853863.

The product of its digits is 7620480, while the sum is 55.

The spelling of 72593648137 in words is "seventy-two billion, five hundred ninety-three million, six hundred forty-eight thousand, one hundred thirty-seven".