72128057 has 2 divisors, whose sum is σ = 72128058. Its totient is φ = 72128056.

The previous prime is 72128051. The next prime is 72128081. The reversal of 72128057 is 75082127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72097081 + 30976 = 8491^2 + 176^2 .

It is a cyclic number.

It is not a de Polignac number, because 72128057 - 2¹⁶ = 72062521 is a prime.

It is not a weakly prime, because it can be changed into another prime (72128051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36064028 + 36064029.

It is an arithmetic number, because the mean of its divisors is an integer number (36064029).

Almost surely, 2^72128057 is an apocalyptic number.

It is an amenable number.

72128057 is a deficient number, since it is larger than the sum of its proper divisors (1).

72128057 is an equidigital number, since it uses as much as digits as its factorization.

72128057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 72128057 is about 8492.8238531127. The cubic root of 72128057 is about 416.2632567689.

The spelling of 72128057 in words is "seventy-two million, one hundred twenty-eight thousand, fifty-seven".