73108900 has 36 divisors (see below), whose sum is σ = 160303108. Its totient is φ = 28938240.

The previous prime is 73108877. The next prime is 73108909. The reversal of 73108900 is 980137.

It can be written as a sum of positive squares in 6 ways, for example, as 2951524 + 70157376 = 1718^2 + 8376^2 .

It is a super-2 number, since 2×73108900² = 10689822518420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73108909) 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 11 ways as a sum of consecutive naturals, for example, 5932 + ... + 13468.

Almost surely, 2^73108900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73108900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151554).

73108900 is an abundant number, since it is smaller than the sum of its proper divisors (87194208).

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

73108900 is a wasteful number, since it uses less digits than its factorization.

73108900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 7641 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 73108900 is about 8550.3742608146. The cubic root of 73108900 is about 418.1416383175.

The spelling of 73108900 in words is "seventy-three million, one hundred eight thousand, nine hundred".