72329067 has 48 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 42446592.

The previous prime is 72329039. The next prime is 72329069. The reversal of 72329067 is 76092327.

It is not a de Polignac number, because 72329067 - 2⁸ = 72328811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72329069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403984 + ... + 404162.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^72329067 is an apocalyptic number.

72329067 is a deficient number, since it is larger than the sum of its proper divisors (45606933).

72329067 is a wasteful number, since it uses less digits than its factorization.

72329067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

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

The square root of 72329067 is about 8504.6497282369. The cubic root of 72329067 is about 416.6495857176.

The spelling of 72329067 in words is "seventy-two million, three hundred twenty-nine thousand, sixty-seven".