1372000 has 96 divisors (see below), whose sum is σ = 3931200. Its totient is φ = 470400.

The previous prime is 1371991. The next prime is 1372027. The reversal of 1372000 is 2731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195997 + ... + 196003.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2^1372000 is an apocalyptic number.

1372000 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 1372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965600).

1372000 is an abundant number, since it is smaller than the sum of its proper divisors (2559200).

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

1372000 is an frugal number, since it uses more digits than its factorization.

1372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 14 counting only the distinct ones).

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

The square root of 1372000 is about 1171.3240371477. The cubic root of 1372000 is about 111.1180736378.

Adding to 1372000 its reverse (2731), we get a palindrome (1374731).

The spelling of 1372000 in words is "one million, three hundred seventy-two thousand".