7672329 has 24 divisors (see below), whose sum is σ = 12751232. Its totient is φ = 4354560.

The previous prime is 7672319. The next prime is 7672337. The reversal of 7672329 is 9232767.

It is not a de Polignac number, because 7672329 - 2⁷ = 7672201 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

7672329 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 7672293 and 7672302.

It is not an unprimeable number, because it can be changed into a prime (7672319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11844 + ... + 12474.

Almost surely, 2^7672329 is an apocalyptic number.

It is an amenable number.

7672329 is a deficient number, since it is larger than the sum of its proper divisors (5078903).

7672329 is a wasteful number, since it uses less digits than its factorization.

7672329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 834 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 7672329 is about 2769.8969294903. The cubic root of 7672329 is about 197.2312554776.

It can be divided in two parts, 7672 and 329, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7672329 in words is "seven million, six hundred seventy-two thousand, three hundred twenty-nine".