7816872 has 144 divisors (see below), whose sum is σ = 25198560. Its totient is φ = 2010624.

The previous prime is 7816859. The next prime is 7816877. The reversal of 7816872 is 2786187.

It is a super-2 number, since 2×7816872² = 122206975728768, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7816872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7816877) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339853 + ... + 339875.

It is an arithmetic number, because the mean of its divisors is an integer number (174990).

Almost surely, 2^7816872 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 7816872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599280).

7816872 is an abundant number, since it is smaller than the sum of its proper divisors (17381688).

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

7816872 is a wasteful number, since it uses less digits than its factorization.

7816872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 7816872 is about 2795.8669496240. The cubic root of 7816872 is about 198.4621385531.

The spelling of 7816872 in words is "seven million, eight hundred sixteen thousand, eight hundred seventy-two".