7672314 has 64 divisors (see below), whose sum is σ = 18063360. Its totient is φ = 2151360.

The previous prime is 7672307. The next prime is 7672319. The reversal of 7672314 is 4132767.

It is a super-3 number, since 3×7672314³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7672319) 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 31 ways as a sum of consecutive naturals, for example, 45859 + ... + 46025.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 2^7672314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7672314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9031680).

7672314 is an abundant number, since it is smaller than the sum of its proper divisors (10391046).

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

7672314 is a wasteful number, since it uses less digits than its factorization.

7672314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235.

The product of its digits is 7056, while the sum is 30.

The square root of 7672314 is about 2769.8942218070. The cubic root of 7672314 is about 197.2311269433.

It can be divided in two parts, 767 and 2314, that added together give a triangular number (3081 = T₇₈).

The spelling of 7672314 in words is "seven million, six hundred seventy-two thousand, three hundred fourteen".