1395072 has 96 divisors (see below), whose sum is σ = 4614480. Its totient is φ = 396288.

The previous prime is 1395067. The next prime is 1395073. The reversal of 1395072 is 2705931.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395073) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7978 + ... + 8150.

2^1395072 is an apocalyptic number.

1395072 is a gapful number since it is divisible by the number (12) 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 1395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307240).

1395072 is an abundant number, since it is smaller than the sum of its proper divisors (3219408).

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

1395072 is a wasteful number, since it uses less digits than its factorization.

1395072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1395072 is about 1181.1316607390. The cubic root of 1395072 is about 111.7374803926.

The spelling of 1395072 in words is "one million, three hundred ninety-five thousand, seventy-two".