6372400 has 60 divisors (see below), whose sum is σ = 15568200. Its totient is φ = 2506240.

The previous prime is 6372371. The next prime is 6372407. The reversal of 6372400 is 42736.

It is not an unprimeable number, because it can be changed into a prime (6372407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35511 + ... + 35689.

It is an arithmetic number, because the mean of its divisors is an integer number (259470).

Almost surely, 2^6372400 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 6372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7784100).

6372400 is an abundant number, since it is smaller than the sum of its proper divisors (9195800).

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

6372400 is a wasteful number, since it uses less digits than its factorization.

6372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 6372400 is about 2524.3613053602. The cubic root of 6372400 is about 185.3962774084.

The spelling of 6372400 in words is "six million, three hundred seventy-two thousand, four hundred".