7872312 has 64 divisors (see below), whose sum is σ = 22993920. Its totient is φ = 2199168.

The previous prime is 7872283. The next prime is 7872313. The reversal of 7872312 is 2132787.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7872312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7872313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7398 + ... + 8394.

It is an arithmetic number, because the mean of its divisors is an integer number (359280).

Almost surely, 2^7872312 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 7872312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496960).

7872312 is an abundant number, since it is smaller than the sum of its proper divisors (15121608).

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

7872312 is a wasteful number, since it uses less digits than its factorization.

7872312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1056 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 7872312 is about 2805.7640670591. The cubic root of 7872312 is about 198.9302214045.

It can be divided in two parts, 78 and 72312, that added together give a triangular number (72390 = T₃₈₀).

The spelling of 7872312 in words is "seven million, eight hundred seventy-two thousand, three hundred twelve".