800072 has 48 divisors (see below), whose sum is σ = 1891260. Its totient is φ = 314496.

The previous prime is 800057. The next prime is 800077. The reversal of 800072 is 270008.

It can be written as a sum of positive squares in 2 ways, for example, as 729316 + 70756 = 854^2 + 266^2 .

800072 is a modest number, since divided by 72 gives 8 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 800072.

It is not an unprimeable number, because it can be changed into a prime (800077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5018 + ... + 5174.

2⁸⁰⁰⁰⁷² 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 800072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945630).

800072 is an abundant number, since it is smaller than the sum of its proper divisors (1091188).

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

800072 is a wasteful number, since it uses less digits than its factorization.

800072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 800072 is about 894.4674393179. The cubic root of 800072 is about 92.8345615420.

The spelling of 800072 in words is "eight hundred thousand, seventy-two".