72949 has 2 divisors, whose sum is σ = 72950. Its totient is φ = 72948.

The previous prime is 72937. The next prime is 72953. The reversal of 72949 is 94927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 49 = 270^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 72949 - 2¹¹ = 70901 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72949.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36474 + 36475.

It is an arithmetic number, because the mean of its divisors is an integer number (36475).

2⁷²⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

72949 is a deficient number, since it is larger than the sum of its proper divisors (1).

72949 is an equidigital number, since it uses as much as digits as its factorization.

72949 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 31.

The square root of 72949 is about 270.0907254979. The cubic root of 72949 is about 41.7836569887.

It can be divided in two parts, 729 and 49, that multiplied together give a square (35721 = 189²).

The spelling of 72949 in words is "seventy-two thousand, nine hundred forty-nine".