72045406217 has 8 divisors (see below), whose sum is σ = 74071582536. Its totient is φ = 70023388032.

The previous prime is 72045406187. The next prime is 72045406219. The reversal of 72045406217 is 71260454027.

It can be written as a sum of positive squares in 4 ways, for example, as 1259611081 + 70785795136 = 35491^2 + 266056^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72045406217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72045406219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1004378 + ... + 1073715.

It is an arithmetic number, because the mean of its divisors is an integer number (9258947817).

Almost surely, 2^72045406217 is an apocalyptic number.

It is an amenable number.

72045406217 is a deficient number, since it is larger than the sum of its proper divisors (2026176319).

72045406217 is a wasteful number, since it uses less digits than its factorization.

72045406217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079067.

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 72045406217 in words is "seventy-two billion, forty-five million, four hundred six thousand, two hundred seventeen".