73580153 has 2 divisors, whose sum is σ = 73580154. Its totient is φ = 73580152.

The previous prime is 73580119. The next prime is 73580167. The reversal of 73580153 is 35108537.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55830784 + 17749369 = 7472^2 + 4213^2 .

It is an emirp because it is prime and its reverse (35108537) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73580153 - 2¹⁴ = 73563769 is a prime.

It is not a weakly prime, because it can be changed into another prime (73580113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36790076 + 36790077.

It is an arithmetic number, because the mean of its divisors is an integer number (36790077).

Almost surely, 2^73580153 is an apocalyptic number.

It is an amenable number.

73580153 is a deficient number, since it is larger than the sum of its proper divisors (1).

73580153 is an equidigital number, since it uses as much as digits as its factorization.

73580153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 73580153 is about 8577.8874438873. The cubic root of 73580153 is about 419.0381485080.

The spelling of 73580153 in words is "seventy-three million, five hundred eighty thousand, one hundred fifty-three".