72506200177 has 12 divisors (see below), whose sum is σ = 73652969520. Its totient is φ = 71376933320.

The previous prime is 72506200159. The next prime is 72506200211. The reversal of 72506200177 is 77100260527.

It is a de Polignac number, because none of the positive numbers 2^k-72506200177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72506209177) 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, 3432474 + ... + 3453532.

It is an arithmetic number, because the mean of its divisors is an integer number (6137747460).

Almost surely, 2^72506200177 is an apocalyptic number.

It is an amenable number.

72506200177 is a deficient number, since it is larger than the sum of its proper divisors (1146769343).

72506200177 is an equidigital number, since it uses as much as digits as its factorization.

72506200177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21884 (or 21813 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 37.

The spelling of 72506200177 in words is "seventy-two billion, five hundred six million, two hundred thousand, one hundred seventy-seven".