72966353 has 2 divisors, whose sum is σ = 72966354. Its totient is φ = 72966352.

The previous prime is 72966323. The next prime is 72966367. The reversal of 72966353 is 35366927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68095504 + 4870849 = 8252^2 + 2207^2 .

It is an emirp because it is prime and its reverse (35366927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72966353 - 2¹² = 72962257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72966353.

It is not a weakly prime, because it can be changed into another prime (72966323) 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, 36483176 + 36483177.

It is an arithmetic number, because the mean of its divisors is an integer number (36483177).

Almost surely, 2^72966353 is an apocalyptic number.

It is an amenable number.

72966353 is a deficient number, since it is larger than the sum of its proper divisors (1).

72966353 is an equidigital number, since it uses as much as digits as its factorization.

72966353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 204120, while the sum is 41.

The square root of 72966353 is about 8542.0344766338. The cubic root of 72966353 is about 417.8696987082.

The spelling of 72966353 in words is "seventy-two million, nine hundred sixty-six thousand, three hundred fifty-three".