72713629 has 2 divisors, whose sum is σ = 72713630. Its totient is φ = 72713628.

The previous prime is 72713617. The next prime is 72713633. The reversal of 72713629 is 92631727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62441604 + 10272025 = 7902^2 + 3205^2 .

It is a cyclic number.

It is not a de Polignac number, because 72713629 - 2¹⁷ = 72582557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72713689) 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, 36356814 + 36356815.

It is an arithmetic number, because the mean of its divisors is an integer number (36356815).

Almost surely, 2^72713629 is an apocalyptic number.

It is an amenable number.

72713629 is a deficient number, since it is larger than the sum of its proper divisors (1).

72713629 is an equidigital number, since it uses as much as digits as its factorization.

72713629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 37.

The square root of 72713629 is about 8527.2286822859. The cubic root of 72713629 is about 417.3867004642.

The spelling of 72713629 in words is "seventy-two million, seven hundred thirteen thousand, six hundred twenty-nine".