1372224 has 56 divisors (see below), whose sum is σ = 4153408. Its totient is φ = 391680.

The previous prime is 1372211. The next prime is 1372243. The reversal of 1372224 is 4222731.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1372224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834 + ... + 1854.

It is an arithmetic number, because the mean of its divisors is an integer number (74168).

2^1372224 is an apocalyptic number.

1372224 is a gapful number since it is divisible by the number (14) 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 1372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076704).

1372224 is an abundant number, since it is smaller than the sum of its proper divisors (2781184).

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

1372224 is a wasteful number, since it uses less digits than its factorization.

1372224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1033 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 1372224 is about 1171.4196515340. The cubic root of 1372224 is about 111.1241205508.

Adding to 1372224 its reverse (4222731), we get a palindrome (5594955).

It can be divided in two parts, 1372 and 224, that added together give a triangular number (1596 = T₅₆).

The spelling of 1372224 in words is "one million, three hundred seventy-two thousand, two hundred twenty-four".