1683072 has 64 divisors (see below), whose sum is σ = 4977600. Its totient is φ = 559872.

The previous prime is 1683067. The next prime is 1683089. The reversal of 1683072 is 2703861.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3213 + ... + 3699.

It is an arithmetic number, because the mean of its divisors is an integer number (77775).

2^1683072 is an apocalyptic number.

1683072 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 1683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488800).

1683072 is an abundant number, since it is smaller than the sum of its proper divisors (3294528).

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

1683072 is an equidigital number, since it uses as much as digits as its factorization.

1683072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1683072 is about 1297.3326481670. The cubic root of 1683072 is about 118.9508541735.

It can be divided in two parts, 168 and 3072, that added together give a triangular number (3240 = T₈₀).

The spelling of 1683072 in words is "one million, six hundred eighty-three thousand, seventy-two".