72216129 has 8 divisors (see below), whose sum is σ = 98636832. Its totient is φ = 46969760.

The previous prime is 72216103. The next prime is 72216139. The reversal of 72216129 is 92161227.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72216129 - 2⁸ = 72215873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72216096 and 72216105.

It is not an unprimeable number, because it can be changed into a prime (72216139) 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 7 ways as a sum of consecutive naturals, for example, 293439 + ... + 293684.

It is an arithmetic number, because the mean of its divisors is an integer number (12329604).

Almost surely, 2^72216129 is an apocalyptic number.

It is an amenable number.

72216129 is a deficient number, since it is larger than the sum of its proper divisors (26420703).

72216129 is a wasteful number, since it uses less digits than its factorization.

72216129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587167.

The product of its digits is 3024, while the sum is 30.

The square root of 72216129 is about 8498.0073546685. The cubic root of 72216129 is about 416.4326140088.

The spelling of 72216129 in words is "seventy-two million, two hundred sixteen thousand, one hundred twenty-nine".