10573200 has 240 divisors, whose sum is σ = 41515200. Its totient is φ = 2534400.

The previous prime is 10573193. The next prime is 10573217. The reversal of 10573200 is 237501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10573200² = 223585116480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118756 + ... + 118844.

It is an arithmetic number, because the mean of its divisors is an integer number (172980).

Almost surely, 2^10573200 is an apocalyptic number.

10573200 is a gapful number since it is divisible by the number (10) 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 10573200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20757600).

10573200 is an abundant number, since it is smaller than the sum of its proper divisors (30942000).

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

10573200 is a wasteful number, since it uses less digits than its factorization.

10573200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10573200 is about 3251.6457371614. The cubic root of 10573200 is about 219.4836374773.

The spelling of 10573200 in words is "ten million, five hundred seventy-three thousand, two hundred".