72354361 has 2 divisors, whose sum is σ = 72354362. Its totient is φ = 72354360.

The previous prime is 72354319. The next prime is 72354371. The reversal of 72354361 is 16345327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36832761 + 35521600 = 6069^2 + 5960^2 .

It is an emirp because it is prime and its reverse (16345327) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72354361 - 2⁹ = 72353849 is a prime.

It is not a weakly prime, because it can be changed into another prime (72354311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36177180 + 36177181.

It is an arithmetic number, because the mean of its divisors is an integer number (36177181).

Almost surely, 2^72354361 is an apocalyptic number.

It is an amenable number.

72354361 is a deficient number, since it is larger than the sum of its proper divisors (1).

72354361 is an equidigital number, since it uses as much as digits as its factorization.

72354361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 31.

The square root of 72354361 is about 8506.1366671363. The cubic root of 72354361 is about 416.6981485191.

Adding to 72354361 its reverse (16345327), we get a palindrome (88699688).

The spelling of 72354361 in words is "seventy-two million, three hundred fifty-four thousand, three hundred sixty-one".