72460363417 has 16 divisors (see below), whose sum is σ = 79957865232. Its totient is φ = 65238497280.

The previous prime is 72460363411. The next prime is 72460363439. The reversal of 72460363417 is 71436306427.

It can be written as a sum of positive squares in 8 ways, for example, as 61852187401 + 10608176016 = 248701^2 + 102996^2 .

It is a cyclic number.

It is not a de Polignac number, because 72460363417 - 2¹⁹ = 72459839129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72460363411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2392513 + ... + 2422609.

It is an arithmetic number, because the mean of its divisors is an integer number (4997366577).

Almost surely, 2^72460363417 is an apocalyptic number.

It is an amenable number.

72460363417 is a deficient number, since it is larger than the sum of its proper divisors (7497501815).

72460363417 is a wasteful number, since it uses less digits than its factorization.

72460363417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34668.

The product of its (nonzero) digits is 508032, while the sum is 43.

The spelling of 72460363417 in words is "seventy-two billion, four hundred sixty million, three hundred sixty-three thousand, four hundred seventeen".