72649 has 2 divisors, whose sum is σ = 72650. Its totient is φ = 72648.

The previous prime is 72647. The next prime is 72661. The reversal of 72649 is 94627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55225 + 17424 = 235^2 + 132^2 .

It is a cyclic number.

It is not a de Polignac number, because 72649 - 2¹ = 72647 is a prime.

Together with 72647, it forms a pair of twin primes.

72649 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36324 + 36325.

It is an arithmetic number, because the mean of its divisors is an integer number (36325).

2⁷²⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

72649 is a deficient number, since it is larger than the sum of its proper divisors (1).

72649 is an equidigital number, since it uses as much as digits as its factorization.

72649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 72649 is about 269.5347843971. The cubic root of 72649 is about 41.7263003887.

The spelling of 72649 in words is "seventy-two thousand, six hundred forty-nine".