72780629 has 2 divisors, whose sum is σ = 72780630. Its totient is φ = 72780628.

The previous prime is 72780599. The next prime is 72780649. The reversal of 72780629 is 92608727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48790225 + 23990404 = 6985^2 + 4898^2 .

It is an emirp because it is prime and its reverse (92608727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72780629 - 2¹² = 72776533 is a prime.

It is a super-3 number, since 3×72780629³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72780649) 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, 36390314 + 36390315.

It is an arithmetic number, because the mean of its divisors is an integer number (36390315).

Almost surely, 2^72780629 is an apocalyptic number.

It is an amenable number.

72780629 is a deficient number, since it is larger than the sum of its proper divisors (1).

72780629 is an equidigital number, since it uses as much as digits as its factorization.

72780629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 72780629 is about 8531.1563694496. The cubic root of 72780629 is about 417.5148576591.

The spelling of 72780629 in words is "seventy-two million, seven hundred eighty thousand, six hundred twenty-nine".