73205160 has 64 divisors (see below), whose sum is σ = 250992000. Its totient is φ = 16732416.

The previous prime is 73205149. The next prime is 73205173. The reversal of 73205160 is 6150237.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 73205160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42735 + ... + 44414.

It is an arithmetic number, because the mean of its divisors is an integer number (3921750).

Almost surely, 2^73205160 is an apocalyptic number.

73205160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73205160 is an abundant number, since it is smaller than the sum of its proper divisors (177786840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73205160 is a wasteful number, since it uses less digits than its factorization.

73205160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87170 (or 87166 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 73205160 is about 8556.0014025244. The cubic root of 73205160 is about 418.3250754531.

Subtracting from 73205160 its sum of digits (24), we obtain a square (73205136 = 8556²).

Adding to 73205160 its reverse (6150237), we get a palindrome (79355397).

The spelling of 73205160 in words is "seventy-three million, two hundred five thousand, one hundred sixty".