72682849 has 2 divisors, whose sum is σ = 72682850. Its totient is φ = 72682848.

The previous prime is 72682807. The next prime is 72682859. The reversal of 72682849 is 94828627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 2122849 = 8400^2 + 1457^2 .

It is an emirp because it is prime and its reverse (94828627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72682849 - 2¹¹ = 72680801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72682799 and 72682808.

It is not a weakly prime, because it can be changed into another prime (72682859) 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, 36341424 + 36341425.

It is an arithmetic number, because the mean of its divisors is an integer number (36341425).

Almost surely, 2^72682849 is an apocalyptic number.

It is an amenable number.

72682849 is a deficient number, since it is larger than the sum of its proper divisors (1).

72682849 is an equidigital number, since it uses as much as digits as its factorization.

72682849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 387072, while the sum is 46.

The square root of 72682849 is about 8525.4236844863. The cubic root of 72682849 is about 417.3277982749.

The spelling of 72682849 in words is "seventy-two million, six hundred eighty-two thousand, eight hundred forty-nine".