73008047 has 24 divisors (see below), whose sum is σ = 89594880. Its totient is φ = 58262400.

The previous prime is 73008041. The next prime is 73008053. The reversal of 73008047 is 74080037.

It is an interprime number because it is at equal distance from previous prime (73008041) and next prime (73008053).

It is not a de Polignac number, because 73008047 - 2¹⁴ = 72991663 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 (73008041) 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 23 ways as a sum of consecutive naturals, for example, 305354 + ... + 305592.

It is an arithmetic number, because the mean of its divisors is an integer number (3733120).

Almost surely, 2^73008047 is an apocalyptic number.

73008047 is a deficient number, since it is larger than the sum of its proper divisors (16586833).

73008047 is a wasteful number, since it uses less digits than its factorization.

73008047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 73008047 is about 8544.4746473964. The cubic root of 73008047 is about 417.9492757600.

The spelling of 73008047 in words is "seventy-three million, eight thousand, forty-seven".