72723949 has 2 divisors, whose sum is σ = 72723950. Its totient is φ = 72723948.

The previous prime is 72723901. The next prime is 72723979. The reversal of 72723949 is 94932727.

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., 72131049 + 592900 = 8493^2 + 770^2 .

It is a cyclic number.

It is not a de Polignac number, because 72723949 - 2¹³ = 72715757 is a prime.

It is equal to p_4268797 and since 72723949 and 4268797 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72723979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36361974 + 36361975.

It is an arithmetic number, because the mean of its divisors is an integer number (36361975).

Almost surely, 2^72723949 is an apocalyptic number.

It is an amenable number.

72723949 is a deficient number, since it is larger than the sum of its proper divisors (1).

72723949 is an equidigital number, since it uses as much as digits as its factorization.

72723949 is an evil number, because the sum of its binary digits is even.

The product of its digits is 190512, while the sum is 43.

The square root of 72723949 is about 8527.8337812131. The cubic root of 72723949 is about 417.4064456255.

The spelling of 72723949 in words is "seventy-two million, seven hundred twenty-three thousand, nine hundred forty-nine".