12372000 has 96 divisors (see below), whose sum is σ = 40569984. Its totient is φ = 3296000.

The previous prime is 12371993. The next prime is 12372001. The reversal of 12372000 is 27321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12372001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11485 + ... + 12515.

It is an arithmetic number, because the mean of its divisors is an integer number (422604).

Almost surely, 2^12372000 is an apocalyptic number.

12372000 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 12372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284992).

12372000 is an abundant number, since it is smaller than the sum of its proper divisors (28197984).

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

12372000 is a wasteful number, since it uses less digits than its factorization.

12372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 12372000 is about 3517.3853925892. The cubic root of 12372000 is about 231.2845577768.

Adding to 12372000 its reverse (27321), we get a palindrome (12399321).

The spelling of 12372000 in words is "twelve million, three hundred seventy-two thousand".