73813900 has 72 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 27762240.

The previous prime is 73813891. The next prime is 73813921. The reversal of 73813900 is 931837.

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 23 ways as a sum of consecutive naturals, for example, 153861 + ... + 154339.

It is an arithmetic number, because the mean of its divisors is an integer number (2360960).

Almost surely, 2^73813900 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 73813900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

73813900 is an abundant number, since it is smaller than the sum of its proper divisors (96175220).

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

73813900 is a wasteful number, since it uses less digits than its factorization.

73813900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 73813900 is about 8591.5016149681. The cubic root of 73813900 is about 419.4814083115.

The spelling of 73813900 in words is "seventy-three million, eight hundred thirteen thousand, nine hundred".