993072 has 40 divisors (see below), whose sum is σ = 2718576. Its totient is φ = 311296.

The previous prime is 993053. The next prime is 993079. The reversal of 993072 is 270399.

993072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (993079) by changing a digit.

993072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208 + ... + 1424.

2⁹⁹³⁰⁷² 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 993072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359288).

993072 is an abundant number, since it is smaller than the sum of its proper divisors (1725504).

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

993072 is a wasteful number, since it uses less digits than its factorization.

993072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 993072 is about 996.5299794788. The cubic root of 993072 is about 99.7685313025.

The spelling of 993072 in words is "nine hundred ninety-three thousand, seventy-two".