73001965 has 8 divisors (see below), whose sum is σ = 87920280. Its totient is φ = 58189632.

The previous prime is 73001947. The next prime is 73001989. The reversal of 73001965 is 56910037.

It can be written as a sum of positive squares in 4 ways, for example, as 1582564 + 71419401 = 1258^2 + 8451^2 .

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 73001965 - 2¹⁹ = 72477677 is a prime.

It is a super-2 number, since 2×73001965² = 10658573787722450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 24970 + ... + 27739.

It is an arithmetic number, because the mean of its divisors is an integer number (10990035).

Almost surely, 2^73001965 is an apocalyptic number.

It is an amenable number.

73001965 is a deficient number, since it is larger than the sum of its proper divisors (14918315).

73001965 is a wasteful number, since it uses less digits than its factorization.

73001965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52991.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 73001965 is about 8544.1187374708. The cubic root of 73001965 is about 417.9376695595.

The spelling of 73001965 in words is "seventy-three million, one thousand, nine hundred sixty-five".