72816349 has 2 divisors, whose sum is σ = 72816350. Its totient is φ = 72816348.

The previous prime is 72816347. The next prime is 72816383. The reversal of 72816349 is 94361827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70392100 + 2424249 = 8390^2 + 1557^2 .

It is a cyclic number.

It is not a de Polignac number, because 72816349 - 2¹ = 72816347 is a prime.

Together with 72816347, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72816347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36408174 + 36408175.

It is an arithmetic number, because the mean of its divisors is an integer number (36408175).

Almost surely, 2^72816349 is an apocalyptic number.

It is an amenable number.

72816349 is a deficient number, since it is larger than the sum of its proper divisors (1).

72816349 is an equidigital number, since it uses as much as digits as its factorization.

72816349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 40.

The square root of 72816349 is about 8533.2496154748. The cubic root of 72816349 is about 417.5831505174.

The spelling of 72816349 in words is "seventy-two million, eight hundred sixteen thousand, three hundred forty-nine".