72767748123 has 48 divisors (see below), whose sum is σ = 120602566656. Its totient is φ = 41416462080.

The previous prime is 72767748121. The next prime is 72767748127. The reversal of 72767748123 is 32184776727.

72767748123 is a `hidden beast` number, since 7 + 2 + 76 + 77 + 481 + 23 = 666.

It is not a de Polignac number, because 72767748123 - 2¹ = 72767748121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72767748123.

It is not an unprimeable number, because it can be changed into a prime (72767748121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18341286 + ... + 18345252.

It is an arithmetic number, because the mean of its divisors is an integer number (2512553472).

Almost surely, 2^72767748123 is an apocalyptic number.

72767748123 is a deficient number, since it is larger than the sum of its proper divisors (47834818533).

72767748123 is a wasteful number, since it uses less digits than its factorization.

72767748123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 5061 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 72767748123 in words is "seventy-two billion, seven hundred sixty-seven million, seven hundred forty-eight thousand, one hundred twenty-three".