802472 has 24 divisors (see below), whose sum is σ = 1655850. Its totient is φ = 364320.

The previous prime is 802471. The next prime is 802499. The reversal of 802472 is 274208.

802472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 662596 + 139876 = 814^2 + 374^2 .

It is a super-2 number, since 2×802472² = 1287922621568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802472.

It is not an unprimeable number, because it can be changed into a prime (802471) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 554 + ... + 1382.

2⁸⁰²⁴⁷² 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 802472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827925).

802472 is an abundant number, since it is smaller than the sum of its proper divisors (853378).

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

802472 is a wasteful number, since it uses less digits than its factorization.

802472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 802472 is about 895.8080151461. The cubic root of 802472 is about 92.9272950857.

It can be divided in two parts, 80 and 2472, that added together give a palindrome (2552).

The spelling of 802472 in words is "eight hundred two thousand, four hundred seventy-two".