72573577 has 2 divisors, whose sum is σ = 72573578. Its totient is φ = 72573576.

The previous prime is 72573569. The next prime is 72573583. The reversal of 72573577 is 77537527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66243321 + 6330256 = 8139^2 + 2516^2 .

It is a cyclic number.

It is not a de Polignac number, because 72573577 - 2³ = 72573569 is a prime.

It is not a weakly prime, because it can be changed into another prime (72573517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36286788 + 36286789.

It is an arithmetic number, because the mean of its divisors is an integer number (36286789).

Almost surely, 2^72573577 is an apocalyptic number.

It is an amenable number.

72573577 is a deficient number, since it is larger than the sum of its proper divisors (1).

72573577 is an equidigital number, since it uses as much as digits as its factorization.

72573577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360150, while the sum is 43.

The square root of 72573577 is about 8519.0126775349. The cubic root of 72573577 is about 417.1185553525.

The spelling of 72573577 in words is "seventy-two million, five hundred seventy-three thousand, five hundred seventy-seven".