783472 has 20 divisors (see below), whose sum is σ = 1584720. Its totient is φ = 374528.

The previous prime is 783421. The next prime is 783473. The reversal of 783472 is 274387.

It is a super-3 number, since 3×783472³ = 1442752033346310144, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (783473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 697 + ... + 1432.

It is an arithmetic number, because the mean of its divisors is an integer number (79236).

2⁷⁸³⁴⁷² is an apocalyptic number.

It is an amenable number.

783472 is an abundant number, since it is smaller than the sum of its proper divisors (801248).

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

783472 is a wasteful number, since it uses less digits than its factorization.

783472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2154 counting only the distinct ones).

The product of its digits is 9408, while the sum is 31.

The square root of 783472 is about 885.1395370223. The cubic root of 783472 is about 92.1880212745.

The spelling of 783472 in words is "seven hundred eighty-three thousand, four hundred seventy-two".