7824672 has 72 divisors (see below), whose sum is σ = 22555260. Its totient is φ = 2572800.

The previous prime is 7824671. The next prime is 7824673. The reversal of 7824672 is 2764287.

It is an interprime number because it is at equal distance from previous prime (7824671) and next prime (7824673).

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 7056 = 2796^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7824672² = 122450983815168, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (7824671) 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 11 ways as a sum of consecutive naturals, for example, 28954 + ... + 29222.

Almost surely, 2^7824672 is an apocalyptic number.

7824672 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 7824672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11277630).

7824672 is an abundant number, since it is smaller than the sum of its proper divisors (14730588).

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

7824672 is a wasteful number, since it uses less digits than its factorization.

7824672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7824672 is about 2797.2615179850. The cubic root of 7824672 is about 198.5281278678.

The spelling of 7824672 in words is "seven million, eight hundred twenty-four thousand, six hundred seventy-two".