72684649 has 2 divisors, whose sum is σ = 72684650. Its totient is φ = 72684648.

The previous prime is 72684641. The next prime is 72684653. The reversal of 72684649 is 94648627.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 94249 = 8520^2 + 307^2 .

It is a cyclic number.

It is not a de Polignac number, because 72684649 - 2³ = 72684641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72684599 and 72684608.

It is not a weakly prime, because it can be changed into another prime (72684641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36342324 + 36342325.

It is an arithmetic number, because the mean of its divisors is an integer number (36342325).

Almost surely, 2^72684649 is an apocalyptic number.

It is an amenable number.

72684649 is a deficient number, since it is larger than the sum of its proper divisors (1).

72684649 is an equidigital number, since it uses as much as digits as its factorization.

72684649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 580608, while the sum is 46.

The square root of 72684649 is about 8525.5292504337. The cubic root of 72684649 is about 417.3312433052.

The spelling of 72684649 in words is "seventy-two million, six hundred eighty-four thousand, six hundred forty-nine".