8725867200 has 252 divisors, whose sum is σ = 31226961168. Its totient is φ = 2310912000.

The previous prime is 8725867187. The next prime is 8725867201. The reversal of 8725867200 is 27685278.

It is a super-2 number, since 2×8725867200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8725867201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2172394 + ... + 2176406.

Almost surely, 2^8725867200 is an apocalyptic number.

8725867200 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 8725867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15613480584).

8725867200 is an abundant number, since it is smaller than the sum of its proper divisors (22501093968).

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

8725867200 is a wasteful number, since it uses less digits than its factorization.

8725867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 8725867200 is about 93412.3503611808. The cubic root of 8725867200 is about 2058.7464645600.

The spelling of 8725867200 in words is "eight billion, seven hundred twenty-five million, eight hundred sixty-seven thousand, two hundred".