72712573 has 2 divisors, whose sum is σ = 72712574. Its totient is φ = 72712572.

The previous prime is 72712567. The next prime is 72712579. The reversal of 72712573 is 37521727.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (72712567) and next prime (72712579).

It can be written as a sum of positive squares in only one way, i.e., 47582404 + 25130169 = 6898^2 + 5013^2 .

It is a cyclic number.

It is not a de Polignac number, because 72712573 - 2¹³ = 72704381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72712579) 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, 36356286 + 36356287.

It is an arithmetic number, because the mean of its divisors is an integer number (36356287).

Almost surely, 2^72712573 is an apocalyptic number.

It is an amenable number.

72712573 is a deficient number, since it is larger than the sum of its proper divisors (1).

72712573 is an equidigital number, since it uses as much as digits as its factorization.

72712573 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20580, while the sum is 34.

The square root of 72712573 is about 8527.1667627648. The cubic root of 72712573 is about 417.3846799238.

The spelling of 72712573 in words is "seventy-two million, seven hundred twelve thousand, five hundred seventy-three".