72802349 has 2 divisors, whose sum is σ = 72802350. Its totient is φ = 72802348.

The previous prime is 72802321. The next prime is 72802351. The reversal of 72802349 is 94320827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69973225 + 2829124 = 8365^2 + 1682^2 .

It is an emirp because it is prime and its reverse (94320827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72802349 - 2²⁴ = 56025133 is a prime.

It is a Sophie Germain prime.

Together with 72802351, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72802399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36401174 + 36401175.

It is an arithmetic number, because the mean of its divisors is an integer number (36401175).

Almost surely, 2^72802349 is an apocalyptic number.

It is an amenable number.

72802349 is a deficient number, since it is larger than the sum of its proper divisors (1).

72802349 is an equidigital number, since it uses as much as digits as its factorization.

72802349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 72802349 is about 8532.4292554934. The cubic root of 72802349 is about 417.5563866615.

The spelling of 72802349 in words is "seventy-two million, eight hundred two thousand, three hundred forty-nine".