73628181 has 24 divisors (see below), whose sum is σ = 116407200. Its totient is φ = 44474400.

The previous prime is 73628171. The next prime is 73628189. The reversal of 73628181 is 18182637.

It is not a de Polignac number, because 73628181 - 2¹⁸ = 73366037 is a prime.

It is a super-2 number, since 2×73628181² = 10842218074737522, which contains 22 as substring.

73628181 is a modest number, since divided by 8181 gives 7362 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73628189) 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, 33486 + ... + 35616.

It is an arithmetic number, because the mean of its divisors is an integer number (4850300).

Almost surely, 2^73628181 is an apocalyptic number.

It is an amenable number.

73628181 is a deficient number, since it is larger than the sum of its proper divisors (42779019).

73628181 is a wasteful number, since it uses less digits than its factorization.

73628181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2494 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 73628181 is about 8580.6865109967. The cubic root of 73628181 is about 419.1293016523.

The spelling of 73628181 in words is "seventy-three million, six hundred twenty-eight thousand, one hundred eighty-one".