72664357 has 2 divisors, whose sum is σ = 72664358. Its totient is φ = 72664356.

The previous prime is 72664321. The next prime is 72664369. The reversal of 72664357 is 75346627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58155876 + 14508481 = 7626^2 + 3809^2 .

It is an emirp because it is prime and its reverse (75346627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72664357 - 2¹⁵ = 72631589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72664387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36332178 + 36332179.

It is an arithmetic number, because the mean of its divisors is an integer number (36332179).

Almost surely, 2^72664357 is an apocalyptic number.

It is an amenable number.

72664357 is a deficient number, since it is larger than the sum of its proper divisors (1).

72664357 is an equidigital number, since it uses as much as digits as its factorization.

72664357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 211680, while the sum is 40.

The square root of 72664357 is about 8524.3390946161. The cubic root of 72664357 is about 417.2924030370.

It can be divided in two parts, 726643 and 57, that multiplied together give a triangular number (41418651 = T₉₁₀₁).

The spelling of 72664357 in words is "seventy-two million, six hundred sixty-four thousand, three hundred fifty-seven".