816072 has 32 divisors (see below), whose sum is σ = 2097600. Its totient is φ = 264384.

The previous prime is 816047. The next prime is 816077. The reversal of 816072 is 270618.

816072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (816077) by changing a digit.

816072 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, 429 + ... + 1347.

It is an arithmetic number, because the mean of its divisors is an integer number (65550).

2⁸¹⁶⁰⁷² 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 816072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048800).

816072 is an abundant number, since it is smaller than the sum of its proper divisors (1281528).

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

816072 is a wasteful number, since it uses less digits than its factorization.

816072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 816072 is about 903.3670350417. The cubic root of 816072 is about 93.4493229149.

The spelling of 816072 in words is "eight hundred sixteen thousand, seventy-two".