72058123 has 2 divisors, whose sum is σ = 72058124. Its totient is φ = 72058122.

The previous prime is 72058109. The next prime is 72058139. The reversal of 72058123 is 32185027.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72058123 - 2¹³ = 72049931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72058091 and 72058100.

It is not a weakly prime, because it can be changed into another prime (72058163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36029061 + 36029062.

It is an arithmetic number, because the mean of its divisors is an integer number (36029062).

Almost surely, 2^72058123 is an apocalyptic number.

72058123 is a deficient number, since it is larger than the sum of its proper divisors (1).

72058123 is an equidigital number, since it uses as much as digits as its factorization.

72058123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 72058123 is about 8488.7056139320. The cubic root of 72058123 is about 416.1286796046.

The spelling of 72058123 in words is "seventy-two million, fifty-eight thousand, one hundred twenty-three".