7822472 has 32 divisors (see below), whose sum is σ = 17176320. Its totient is φ = 3269760.

The previous prime is 7822439. The next prime is 7822519. The reversal of 7822472 is 2742287.

It is a happy number.

It is a super-2 number, since 2×7822472² = 122382136381568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 7⁶ + 8⁵ + 2¹⁵ + 2¹⁹ + 4¹¹ + 7⁷ + 2²¹ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593 + ... + 3999.

It is an arithmetic number, because the mean of its divisors is an integer number (536760).

Almost surely, 2^7822472 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 7822472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588160).

7822472 is an abundant number, since it is smaller than the sum of its proper divisors (9353848).

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

7822472 is a wasteful number, since it uses less digits than its factorization.

7822472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3457 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 7822472 is about 2796.8682485952. The cubic root of 7822472 is about 198.5095199388.

The spelling of 7822472 in words is "seven million, eight hundred twenty-two thousand, four hundred seventy-two".