7983472 has 60 divisors (see below), whose sum is σ = 19083600. Its totient is φ = 3214848.

The previous prime is 7983463. The next prime is 7983473. The reversal of 7983472 is 2743897.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 7⁵ + 9³ + 8⁷ + 3¹⁴ + 4⁹ + 7⁷ + 2⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7983473) 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, 13029 + ... + 13627.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 2^7983472 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 7983472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9541800).

7983472 is an abundant number, since it is smaller than the sum of its proper divisors (11100128).

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

7983472 is a wasteful number, since it uses less digits than its factorization.

7983472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 625 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 7983472 is about 2825.5038488737. The cubic root of 7983472 is about 199.8621717053.

The spelling of 7983472 in words is "seven million, nine hundred eighty-three thousand, four hundred seventy-two".