7833472 has 32 divisors (see below), whose sum is σ = 16432200. Its totient is φ = 3709440.

The previous prime is 7833461. The next prime is 7833473. The reversal of 7833472 is 2743387.

7833472 is digitally balanced in base 5, 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 (32).

It is a super-3 number, since 3×7833472³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7833473) 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, 822 + ... + 4042.

Almost surely, 2^7833472 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 7833472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216100).

7833472 is an abundant number, since it is smaller than the sum of its proper divisors (8598728).

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

7833472 is a wasteful number, since it uses less digits than its factorization.

7833472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3242 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 7833472 is about 2798.8340429543. The cubic root of 7833472 is about 198.6025247241.

The spelling of 7833472 in words is "seven million, eight hundred thirty-three thousand, four hundred seventy-two".