73087200 has 108 divisors (see below), whose sum is σ = 257749128. Its totient is φ = 19488000.

The previous prime is 73087193. The next prime is 73087213. The reversal of 73087200 is 278037.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2125 + ... + 12275.

It is an arithmetic number, because the mean of its divisors is an integer number (2386566).

Almost surely, 2^73087200 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 73087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128874564).

73087200 is an abundant number, since it is smaller than the sum of its proper divisors (184661928).

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

73087200 is a wasteful number, since it uses less digits than its factorization.

73087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10177 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 73087200 is about 8549.1052163370. The cubic root of 73087200 is about 418.1002636401.

The spelling of 73087200 in words is "seventy-three million, eighty-seven thousand, two hundred".