1365728 has 72 divisors (see below), whose sum is σ = 3418632. Its totient is φ = 532224.

The previous prime is 1365719. The next prime is 1365731. The reversal of 1365728 is 8275631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1365694 and 1365703.

It is a congruent number.

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, 20351 + ... + 20417.

It is an arithmetic number, because the mean of its divisors is an integer number (47481).

2^1365728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709316).

1365728 is an abundant number, since it is smaller than the sum of its proper divisors (2052904).

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

1365728 is a wasteful number, since it uses less digits than its factorization.

1365728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 1365728 is about 1168.6436582637. The cubic root of 1365728 is about 110.9484921860.

Subtracting 1365728 from its reverse (8275631), we obtain a triangular number (6909903 = T₃₇₁₇).

The spelling of 1365728 in words is "one million, three hundred sixty-five thousand, seven hundred twenty-eight".