802272 has 48 divisors (see below), whose sum is σ = 2156112. Its totient is φ = 261120.

The previous prime is 802253. The next prime is 802279. The reversal of 802272 is 272208.

802272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802279) by changing a digit.

802272 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, 5788 + ... + 5924.

It is an arithmetic number, because the mean of its divisors is an integer number (44919).

2⁸⁰²²⁷² 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 802272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078056).

802272 is an abundant number, since it is smaller than the sum of its proper divisors (1353840).

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

802272 is a wasteful number, since it uses less digits than its factorization.

802272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 802272 is about 895.6963771279. The cubic root of 802272 is about 92.9195743581.

The spelling of 802272 in words is "eight hundred two thousand, two hundred seventy-two".