72416584207 has 12 divisors (see below), whose sum is σ = 84280655088. Its totient is φ = 61960712000.

The previous prime is 72416584193. The next prime is 72416584213. The reversal of 72416584207 is 70248561427.

It is not a de Polignac number, because 72416584207 - 2³⁵ = 38056845839 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 (72416584267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17600419 + ... + 17604532.

It is an arithmetic number, because the mean of its divisors is an integer number (7023387924).

Almost surely, 2^72416584207 is an apocalyptic number.

72416584207 is a deficient number, since it is larger than the sum of its proper divisors (11864070881).

72416584207 is a wasteful number, since it uses less digits than its factorization.

72416584207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35204990 (or 35204979 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 72416584207 in words is "seventy-two billion, four hundred sixteen million, five hundred eighty-four thousand, two hundred seven".