72905229 has 12 divisors (see below), whose sum is σ = 106641600. Its totient is φ = 47987784.

The previous prime is 72905221. The next prime is 72905243. The reversal of 72905229 is 92250927.

It is not a de Polignac number, because 72905229 - 2³ = 72905221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72905193 and 72905202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72905221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50559 + ... + 51980.

It is an arithmetic number, because the mean of its divisors is an integer number (8886800).

Almost surely, 2^72905229 is an apocalyptic number.

72905229 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

72905229 is a deficient number, since it is larger than the sum of its proper divisors (33736371).

72905229 is a wasteful number, since it uses less digits than its factorization.

72905229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102624 (or 102621 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72905229 is about 8538.4558908505. The cubic root of 72905229 is about 417.7529827979.

The spelling of 72905229 in words is "seventy-two million, nine hundred five thousand, two hundred twenty-nine".