72729577 has 2 divisors, whose sum is σ = 72729578. Its totient is φ = 72729576.

The previous prime is 72729529. The next prime is 72729581. The reversal of 72729577 is 77592727.

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., 54997056 + 17732521 = 7416^2 + 4211^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72729577 is a prime.

It is not a weakly prime, because it can be changed into another prime (72729277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36364788 + 36364789.

It is an arithmetic number, because the mean of its divisors is an integer number (36364789).

Almost surely, 2^72729577 is an apocalyptic number.

It is an amenable number.

72729577 is a deficient number, since it is larger than the sum of its proper divisors (1).

72729577 is an equidigital number, since it uses as much as digits as its factorization.

72729577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432180, while the sum is 46.

The square root of 72729577 is about 8528.1637531183. The cubic root of 72729577 is about 417.4172128391.

The spelling of 72729577 in words is "seventy-two million, seven hundred twenty-nine thousand, five hundred seventy-seven".