73228129 has 8 divisors (see below), whose sum is σ = 83500200. Its totient is φ = 63618816.

The previous prime is 73228093. The next prime is 73228151. The reversal of 73228129 is 92182237.

It can be written as a sum of positive squares in 4 ways, for example, as 518400 + 72709729 = 720^2 + 8527^2 .

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 73228129 - 2²¹ = 71130977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73228094 and 73228103.

It is not an unprimeable number, because it can be changed into a prime (73228229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165454 + ... + 165895.

It is an arithmetic number, because the mean of its divisors is an integer number (10437525).

Almost surely, 2^73228129 is an apocalyptic number.

It is an amenable number.

73228129 is a deficient number, since it is larger than the sum of its proper divisors (10272071).

73228129 is a wasteful number, since it uses less digits than its factorization.

73228129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331379.

The product of its digits is 12096, while the sum is 34.

The square root of 73228129 is about 8557.3435714595. The cubic root of 73228129 is about 418.3688223871.

It can be divided in two parts, 7322 and 8129, that added together give a palindrome (15451).

The spelling of 73228129 in words is "seventy-three million, two hundred twenty-eight thousand, one hundred twenty-nine".