872305200 has 600 divisors, whose sum is σ = 3581454800. Its totient is φ = 201553920.

The previous prime is 872305193. The next prime is 872305201. The reversal of 872305200 is 2503278.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (872305201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8002746 + ... + 8002854.

Almost surely, 2^872305200 is an apocalyptic number.

872305200 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 872305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790727400).

872305200 is an abundant number, since it is smaller than the sum of its proper divisors (2709149600).

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

872305200 is a wasteful number, since it uses less digits than its factorization.

872305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 872305200 is about 29534.8133564443. The cubic root of 872305200 is about 955.4826831834.

Adding to 872305200 its reverse (2503278), we get a palindrome (874808478).

The spelling of 872305200 in words is "eight hundred seventy-two million, three hundred five thousand, two hundred".