73006747 has 8 divisors (see below), whose sum is σ = 79716672. Its totient is φ = 66309000.

The previous prime is 73006741. The next prime is 73006753. The reversal of 73006747 is 74760037.

It is a happy number.

73006747 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (73006741) and next prime (73006753).

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

It is a cyclic number.

It is not a de Polignac number, because 73006747 - 2¹¹ = 73004699 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73006741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13372 + ... + 18022.

It is an arithmetic number, because the mean of its divisors is an integer number (9964584).

Almost surely, 2^73006747 is an apocalyptic number.

73006747 is a deficient number, since it is larger than the sum of its proper divisors (6709925).

73006747 is a wasteful number, since it uses less digits than its factorization.

73006747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089.

The product of its (nonzero) digits is 24696, while the sum is 34.

The square root of 73006747 is about 8544.3985745048. The cubic root of 73006747 is about 417.9467950413.

The spelling of 73006747 in words is "seventy-three million, six thousand, seven hundred forty-seven".