72753309 has 10 divisors (see below), whose sum is σ = 108680990. Its totient is φ = 48502152.

The previous prime is 72753287. The next prime is 72753323. The reversal of 72753309 is 90335727.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 57426084 + 15327225 = 7578^2 + 3915^2 .

It is not a de Polignac number, because 72753309 - 2⁷ = 72753181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72753389) 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 in 9 ways as a sum of consecutive naturals, for example, 449014 + ... + 449175.

It is an arithmetic number, because the mean of its divisors is an integer number (10868099).

Almost surely, 2^72753309 is an apocalyptic number.

It is an amenable number.

72753309 is a deficient number, since it is larger than the sum of its proper divisors (35927681).

72753309 is an equidigital number, since it uses as much as digits as its factorization.

72753309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898201 (or 898192 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 72753309 is about 8529.5550294256. Note that the first 3 decimals coincide. The cubic root of 72753309 is about 417.4626096291.

The spelling of 72753309 in words is "seventy-two million, seven hundred fifty-three thousand, three hundred nine".