999072 has 36 divisors (see below), whose sum is σ = 2841930. Its totient is φ = 332928.

The previous prime is 999067. The next prime is 999083. The reversal of 999072 is 270999.

It can be written as a sum of positive squares in only one way, i.e., 992016 + 7056 = 996^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×999072² = 1996289722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

999072 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1447 + ... + 2022.

2⁹⁹⁹⁰⁷² is an apocalyptic number.

It is an amenable number.

999072 is an abundant number, since it is smaller than the sum of its proper divisors (1842858).

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

999072 is a wasteful number, since it uses less digits than its factorization.

With its successor (999073) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3474).

999072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 999072 is about 999.5358923020. The cubic root of 999072 is about 99.9690570930.

The spelling of 999072 in words is "nine hundred ninety-nine thousand, seventy-two".