73300257 has 12 divisors (see below), whose sum is σ = 106412800. Its totient is φ = 48620088.

The previous prime is 73300247. The next prime is 73300267. The reversal of 73300257 is 75200337.

It is an interprime number because it is at equal distance from previous prime (73300247) and next prime (73300267).

It is not a de Polignac number, because 73300257 - 2⁸ = 73300001 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 73300257.

It is not an unprimeable number, because it can be changed into a prime (73300207) 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 in 11 ways as a sum of consecutive naturals, for example, 18673 + ... + 22254.

Almost surely, 2^73300257 is an apocalyptic number.

It is an amenable number.

73300257 is a deficient number, since it is larger than the sum of its proper divisors (33112543).

73300257 is a wasteful number, since it uses less digits than its factorization.

73300257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41132 (or 41129 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 73300257 is about 8561.5569261671. The cubic root of 73300257 is about 418.5061384916.

The spelling of 73300257 in words is "seventy-three million, three hundred thousand, two hundred fifty-seven".