72660329 has 32 divisors (see below), whose sum is σ = 91238400. Its totient is φ = 56459520.

The previous prime is 72660319. The next prime is 72660349. The reversal of 72660329 is 92306627.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72660329 - 2²⁰ = 71611753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72660319) 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, 554594 + ... + 554724.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 2^72660329 is an apocalyptic number.

72660329 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

72660329 is a deficient number, since it is larger than the sum of its proper divisors (18578071).

72660329 is a wasteful number, since it uses less digits than its factorization.

72660329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 72660329 is about 8524.1028266909. The cubic root of 72660329 is about 417.2846923109.

The spelling of 72660329 in words is "seventy-two million, six hundred sixty thousand, three hundred twenty-nine".