7853472 has 144 divisors (see below), whose sum is σ = 25395552. Its totient is φ = 2280960.

The previous prime is 7853453. The next prime is 7853491. The reversal of 7853472 is 2743587.

It is an interprime number because it is at equal distance from previous prime (7853453) and next prime (7853491).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 7³ + 8 + 5⁹ + 3³ + 4⁶ + 7⁸ + 2¹⁷ .

Its product of digits (47040) is a multiple of the sum of its prime divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117183 + ... + 117249.

It is an arithmetic number, because the mean of its divisors is an integer number (176358).

Almost surely, 2^7853472 is an apocalyptic number.

7853472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7853472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12697776).

7853472 is an abundant number, since it is smaller than the sum of its proper divisors (17542080).

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

7853472 is a wasteful number, since it uses less digits than its factorization.

7853472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 7853472 is about 2802.4046816975. The cubic root of 7853472 is about 198.7714015164.

It can be divided in two parts, 78534 and 72, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 7853472 in words is "seven million, eight hundred fifty-three thousand, four hundred seventy-two".