72416307275667 has 6 divisors (see below), whose sum is σ = 104601332731532. Its totient is φ = 48277538183772.

The previous prime is 72416307275617. The next prime is 72416307275671. The reversal of 72416307275667 is 76657270361427.

72416307275667 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 63 + 0 + 7 + 2 + 7 + 566 + 7 = 666.

It is not a de Polignac number, because 72416307275667 - 2⁶ = 72416307275603 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72416307275617) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4023128181973 + ... + 4023128181990.

Almost surely, 2^{72416307275667} is an apocalyptic number.

72416307275667 is a deficient number, since it is larger than the sum of its proper divisors (32185025455865).

72416307275667 is a wasteful number, since it uses less digits than its factorization.

72416307275667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046256363969 (or 8046256363966 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 63.

The spelling of 72416307275667 in words is "seventy-two trillion, four hundred sixteen billion, three hundred seven million, two hundred seventy-five thousand, six hundred sixty-seven".