1372320 has 72 divisors (see below), whose sum is σ = 4687956. Its totient is φ = 365568.

The previous prime is 1372307. The next prime is 1372331. The reversal of 1372320 is 232731.

It can be written as a sum of positive squares in 2 ways, for example, as 1354896 + 17424 = 1164^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1372293 and 1372302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964 + ... + 1916.

2^1372320 is an apocalyptic number.

1372320 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 1372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343978).

1372320 is an abundant number, since it is smaller than the sum of its proper divisors (3315636).

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

1372320 is a wasteful number, since it uses less digits than its factorization.

1372320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 1372320 is about 1171.4606267391. The cubic root of 1372320 is about 111.1267118835.

The spelling of 1372320 in words is "one million, three hundred seventy-two thousand, three hundred twenty".