72838573 has 2 divisors, whose sum is σ = 72838574. Its totient is φ = 72838572.

The previous prime is 72838547. The next prime is 72838637. The reversal of 72838573 is 37583827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61669609 + 11168964 = 7853^2 + 3342^2 .

It is a cyclic number.

It is not a de Polignac number, because 72838573 - 2¹⁷ = 72707501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72838973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36419286 + 36419287.

It is an arithmetic number, because the mean of its divisors is an integer number (36419287).

Almost surely, 2^72838573 is an apocalyptic number.

It is an amenable number.

72838573 is a deficient number, since it is larger than the sum of its proper divisors (1).

72838573 is an equidigital number, since it uses as much as digits as its factorization.

72838573 is an evil number, because the sum of its binary digits is even.

The product of its digits is 282240, while the sum is 43.

The square root of 72838573 is about 8534.5517164055. The cubic root of 72838573 is about 417.6256291827.

The spelling of 72838573 in words is "seventy-two million, eight hundred thirty-eight thousand, five hundred seventy-three".