7314120 has 96 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 1772160.

The previous prime is 7314101. The next prime is 7314127. The reversal of 7314120 is 214137.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 7314093 and 7314102.

It is not an unprimeable number, because it can be changed into a prime (7314127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3037 + ... + 4883.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 2^7314120 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 7314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

7314120 is an abundant number, since it is smaller than the sum of its proper divisors (18631800).

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

7314120 is a wasteful number, since it uses less digits than its factorization.

7314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7314120 is about 2704.4629781160. The cubic root of 7314120 is about 194.1127342785.

Adding to 7314120 its reverse (214137), we get a palindrome (7528257).

It can be divided in two parts, 731 and 4120, that added together give a triangular number (4851 = T₉₈).

The spelling of 7314120 in words is "seven million, three hundred fourteen thousand, one hundred twenty".