73772233 has 2 divisors, whose sum is σ = 73772234. Its totient is φ = 73772232.

The previous prime is 73772213. The next prime is 73772239. The reversal of 73772233 is 33227737.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67436944 + 6335289 = 8212^2 + 2517^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73772233 is a prime.

It is not a weakly prime, because it can be changed into another prime (73772239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36886116 + 36886117.

It is an arithmetic number, because the mean of its divisors is an integer number (36886117).

Almost surely, 2^73772233 is an apocalyptic number.

It is an amenable number.

73772233 is a deficient number, since it is larger than the sum of its proper divisors (1).

73772233 is an equidigital number, since it uses as much as digits as its factorization.

73772233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37044, while the sum is 34.

The square root of 73772233 is about 8589.0763764214. The cubic root of 73772233 is about 419.4024628298.

It can be divided in two parts, 737 and 72233, that multiplied together give a triangular number (53235721 = T₁₀₃₁₈).

The spelling of 73772233 in words is "seventy-three million, seven hundred seventy-two thousand, two hundred thirty-three".