1996072 has 32 divisors (see below), whose sum is σ = 4271400. Its totient is φ = 866304.

The previous prime is 1996061. The next prime is 1996081. The reversal of 1996072 is 2706991.

It can be written as a sum of positive squares in 4 ways, for example, as 1196836 + 799236 = 1094^2 + 894^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1204 + ... + 2332.

2^1996072 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 1996072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135700).

1996072 is an abundant number, since it is smaller than the sum of its proper divisors (2275328).

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

1996072 is a wasteful number, since it uses less digits than its factorization.

1996072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 1996072 is about 1412.8241221044. The cubic root of 1996072 is about 125.9095681003.

The spelling of 1996072 in words is "one million, nine hundred ninety-six thousand, seventy-two".