1983072 has 96 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 520704.

The previous prime is 1983061. The next prime is 1983077. The reversal of 1983072 is 2703891.

It is a happy number.

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 (1983077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8623 + ... + 8849.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

2^1983072 is an apocalyptic number.

1983072 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 1983072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

1983072 is an abundant number, since it is smaller than the sum of its proper divisors (4452000).

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

1983072 is a wasteful number, since it uses less digits than its factorization.

1983072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1983072 is about 1408.2158925392. The cubic root of 1983072 is about 125.6356316341.

The spelling of 1983072 in words is "one million, nine hundred eighty-three thousand, seventy-two".