10372000 has 48 divisors (see below), whose sum is σ = 25493832. Its totient is φ = 4147200.

The previous prime is 10371979. The next prime is 10372003. The reversal of 10372000 is 27301.

It can be written as a sum of positive squares in 4 ways, for example, as 3549456 + 6822544 = 1884^2 + 2612^2 .

It is not an unprimeable number, because it can be changed into a prime (10372003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2704 + ... + 5296.

Almost surely, 2^10372000 is an apocalyptic number.

10372000 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 10372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746916).

10372000 is an abundant number, since it is smaller than the sum of its proper divisors (15121832).

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

10372000 is an equidigital number, since it uses as much as digits as its factorization.

10372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 10372000 is about 3220.5589576966. The cubic root of 10372000 is about 218.0825095189.

Adding to 10372000 its reverse (27301), we get a palindrome (10399301).

The spelling of 10372000 in words is "ten million, three hundred seventy-two thousand".