7817472 has 180 divisors, whose sum is σ = 25969020. Its totient is φ = 2322432.

The previous prime is 7817461. The next prime is 7817473. The reversal of 7817472 is 2747187.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 5308416 = 1584^2 + 2304^2 .

It is a super-2 number, since 2×7817472² = 122225736941568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7817473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269554 + ... + 269582.

Almost surely, 2^7817472 is an apocalyptic number.

7817472 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 7817472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12984510).

7817472 is an abundant number, since it is smaller than the sum of its proper divisors (18151548).

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

7817472 is a wasteful number, since it uses less digits than its factorization.

7817472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 7817472 is about 2795.9742488085. The cubic root of 7817472 is about 198.4672162123.

The spelling of 7817472 in words is "seven million, eight hundred seventeen thousand, four hundred seventy-two".