72577073 has 2 divisors, whose sum is σ = 72577074. Its totient is φ = 72577072.

The previous prime is 72577051. The next prime is 72577079. The reversal of 72577073 is 37077527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64915249 + 7661824 = 8057^2 + 2768^2 .

It is a cyclic number.

It is not a de Polignac number, because 72577073 - 2⁶ = 72577009 is a prime.

It is not a weakly prime, because it can be changed into another prime (72577079) 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, 36288536 + 36288537.

It is an arithmetic number, because the mean of its divisors is an integer number (36288537).

Almost surely, 2^72577073 is an apocalyptic number.

It is an amenable number.

72577073 is a deficient number, since it is larger than the sum of its proper divisors (1).

72577073 is an equidigital number, since it uses as much as digits as its factorization.

72577073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72030, while the sum is 38.

The square root of 72577073 is about 8519.2178631609. The cubic root of 72577073 is about 417.1252530291.

The spelling of 72577073 in words is "seventy-two million, five hundred seventy-seven thousand, seventy-three".