7312896 has 120 divisors (see below), whose sum is σ = 22628760. Its totient is φ = 2331648.

The previous prime is 7312867. The next prime is 7312909. The reversal of 7312896 is 6982137.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

Its product of digits (18144) is a multiple of the sum of its prime divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 7312896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317941 + ... + 317963.

It is an arithmetic number, because the mean of its divisors is an integer number (188573).

Almost surely, 2^7312896 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 7312896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314380).

7312896 is an abundant number, since it is smaller than the sum of its proper divisors (15315864).

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

7312896 is an equidigital number, since it uses as much as digits as its factorization.

7312896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7312896 is about 2704.2366760326. The cubic root of 7312896 is about 194.1019055782.

The spelling of 7312896 in words is "seven million, three hundred twelve thousand, eight hundred ninety-six".