72772123 has 2 divisors, whose sum is σ = 72772124. Its totient is φ = 72772122.

The previous prime is 72772099. The next prime is 72772153. The reversal of 72772123 is 32127727.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72772123 is a prime.

It is not a weakly prime, because it can be changed into another prime (72772153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36386061 + 36386062.

It is an arithmetic number, because the mean of its divisors is an integer number (36386062).

Almost surely, 2^72772123 is an apocalyptic number.

72772123 is a deficient number, since it is larger than the sum of its proper divisors (1).

72772123 is an equidigital number, since it uses as much as digits as its factorization.

72772123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8232, while the sum is 31.

The square root of 72772123 is about 8530.6578292650. The cubic root of 72772123 is about 417.4985917937.

The spelling of 72772123 in words is "seventy-two million, seven hundred seventy-two thousand, one hundred twenty-three".