8373200 has 90 divisors (see below), whose sum is σ = 22239462. Its totient is φ = 3027200.

The previous prime is 8373181. The next prime is 8373217. The reversal of 8373200 is 23738.

It can be written as a sum of positive squares in 3 ways, for example, as 1860496 + 6512704 = 1364^2 + 2552^2 .

It is a super-2 number, since 2×8373200² = 140220956480000, which contains 22 as substring.

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, 48314 + ... + 48486.

Almost surely, 2^8373200 is an apocalyptic number.

8373200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11119731).

8373200 is an abundant number, since it is smaller than the sum of its proper divisors (13866262).

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

8373200 is a wasteful number, since it uses less digits than its factorization.

8373200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 8373200 is about 2893.6482163525. The cubic root of 8373200 is about 203.0628551508.

Adding to 8373200 its reverse (23738), we get a palindrome (8396938).

The spelling of 8373200 in words is "eight million, three hundred seventy-three thousand, two hundred".