72404305 has 8 divisors (see below), whose sum is σ = 86938344. Its totient is φ = 57888000.

The previous prime is 72404279. The next prime is 72404323. The reversal of 72404305 is 50340427.

It can be written as a sum of positive squares in 4 ways, for example, as 7907344 + 64496961 = 2812^2 + 8031^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72404305 - 2⁷ = 72404177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72404305.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7455 + ... + 14155.

It is an arithmetic number, because the mean of its divisors is an integer number (10867293).

Almost surely, 2^72404305 is an apocalyptic number.

It is an amenable number.

72404305 is a deficient number, since it is larger than the sum of its proper divisors (14534039).

72404305 is a wasteful number, since it uses less digits than its factorization.

72404305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867.

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 72404305 is about 8509.0719235414. The cubic root of 72404305 is about 416.7940044580.

The spelling of 72404305 in words is "seventy-two million, four hundred four thousand, three hundred five".