73345800 has 96 divisors (see below), whose sum is σ = 248064480. Its totient is φ = 17779200.

The previous prime is 73345763. The next prime is 73345813. The reversal of 73345800 is 854337.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1044 + ... + 12156.

It is an arithmetic number, because the mean of its divisors is an integer number (2584005).

Almost surely, 2^73345800 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 73345800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124032240).

73345800 is an abundant number, since it is smaller than the sum of its proper divisors (174718680).

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

73345800 is a wasteful number, since it uses less digits than its factorization.

73345800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11143 (or 11134 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 73345800 is about 8564.2162513566. The cubic root of 73345800 is about 418.5927961185.

The spelling of 73345800 in words is "seventy-three million, three hundred forty-five thousand, eight hundred".