73165672 has 32 divisors (see below), whose sum is σ = 139261320. Its totient is φ = 36034560.

The previous prime is 73165667. The next prime is 73165681. The reversal of 73165672 is 27656137.

It can be written as a sum of positive squares in 4 ways, for example, as 62315236 + 10850436 = 7894^2 + 3294^2 .

It is a super-3 number, since 3×73165672³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 263998 + ... + 264274.

Almost surely, 2^73165672 is an apocalyptic number.

It is an amenable number.

73165672 is a deficient number, since it is larger than the sum of its proper divisors (66095648).

73165672 is a wasteful number, since it uses less digits than its factorization.

73165672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 657 counting only the distinct ones).

The product of its digits is 52920, while the sum is 37.

The square root of 73165672 is about 8553.6934712439. The cubic root of 73165672 is about 418.2498449109.

It can be divided in two parts, 73165 and 672, that added together give a palindrome (73837).

The spelling of 73165672 in words is "seventy-three million, one hundred sixty-five thousand, six hundred seventy-two".