126372000 has 96 divisors (see below), whose sum is σ = 414033984. Its totient is φ = 33696000.

The previous prime is 126371957. The next prime is 126372011. The reversal of 126372000 is 273621.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6735 + ... + 17265.

It is an arithmetic number, because the mean of its divisors is an integer number (4312854).

Almost surely, 2^126372000 is an apocalyptic number.

126372000 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 126372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207016992).

126372000 is an abundant number, since it is smaller than the sum of its proper divisors (287661984).

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

126372000 is a wasteful number, since it uses less digits than its factorization.

126372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 126372000 is about 11241.5301449580. The cubic root of 126372000 is about 501.8226809281.

The spelling of 126372000 in words is "one hundred twenty-six million, three hundred seventy-two thousand".