72461310403005 has 12 divisors (see below), whose sum is σ = 125599604698620. Its totient is φ = 38646032214912.

The previous prime is 72461310402997. The next prime is 72461310403021. The reversal of 72461310403005 is 50030401316427.

72461310403005 is a `hidden beast` number, since 7 + 2 + 4 + 613 + 1 + 0 + 4 + 0 + 30 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26276808940281 + 46184501462724 = 5126091^2 + 6795918^2 .

It is not a de Polignac number, because 72461310403005 - 2³ = 72461310402997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 805125671100 + ... + 805125671189.

It is an arithmetic number, because the mean of its divisors is an integer number (10466633724885).

Almost surely, 2^{72461310403005} is an apocalyptic number.

It is an amenable number.

72461310403005 is a deficient number, since it is larger than the sum of its proper divisors (53138294295615).

72461310403005 is a wasteful number, since it uses less digits than its factorization.

72461310403005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610251342300 (or 1610251342297 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 72461310403005 in words is "seventy-two trillion, four hundred sixty-one billion, three hundred ten million, four hundred three thousand, five".