7873312 has 48 divisors (see below), whose sum is σ = 16860312. Its totient is φ = 3604480.

The previous prime is 7873301. The next prime is 7873321. The reversal of 7873312 is 2133787.

It can be written as a sum of positive squares in 4 ways, for example, as 5550736 + 2322576 = 2356^2 + 1524^2 .

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, 22128 + ... + 22480.

Almost surely, 2^7873312 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 7873312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430156).

7873312 is an abundant number, since it is smaller than the sum of its proper divisors (8987000).

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

7873312 is a wasteful number, since it uses less digits than its factorization.

7873312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 7873312 is about 2805.9422659777. The cubic root of 7873312 is about 198.9386442498.

The spelling of 7873312 in words is "seven million, eight hundred seventy-three thousand, three hundred twelve".