72949673 has 2 divisors, whose sum is σ = 72949674. Its totient is φ = 72949672.

The previous prime is 72949661. The next prime is 72949693. The reversal of 72949673 is 37694927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51308569 + 21641104 = 7163^2 + 4652^2 .

It is an emirp because it is prime and its reverse (37694927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72949673 - 2²⁰ = 71901097 is a prime.

It is not a weakly prime, because it can be changed into another prime (72949633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36474836 + 36474837.

It is an arithmetic number, because the mean of its divisors is an integer number (36474837).

Almost surely, 2^72949673 is an apocalyptic number.

It is an amenable number.

72949673 is a deficient number, since it is larger than the sum of its proper divisors (1).

72949673 is an equidigital number, since it uses as much as digits as its factorization.

72949673 is an evil number, because the sum of its binary digits is even.

The product of its digits is 571536, while the sum is 47.

The square root of 72949673 is about 8541.0580726278. The cubic root of 72949673 is about 417.8378548173.

The spelling of 72949673 in words is "seventy-two million, nine hundred forty-nine thousand, six hundred seventy-three".