72577003 has 2 divisors, whose sum is σ = 72577004. Its totient is φ = 72577002.

The previous prime is 72576953. The next prime is 72577009. The reversal of 72577003 is 30077527.

It is a strong prime.

It is an emirp because it is prime and its reverse (30077527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72577003 - 2¹⁷ = 72445931 is a prime.

It is not a weakly prime, because it can be changed into another prime (72577009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36288501 + 36288502.

It is an arithmetic number, because the mean of its divisors is an integer number (36288502).

Almost surely, 2^72577003 is an apocalyptic number.

72577003 is a deficient number, since it is larger than the sum of its proper divisors (1).

72577003 is an equidigital number, since it uses as much as digits as its factorization.

72577003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10290, while the sum is 31.

The square root of 72577003 is about 8519.2137548016. The cubic root of 72577003 is about 417.1251189244.

It can be divided in two parts, 7 and 2577003, that multiplied together give a triangular number (18039021 = T₆₀₀₆).

The spelling of 72577003 in words is "seventy-two million, five hundred seventy-seven thousand, three".