72842229 has 24 divisors (see below), whose sum is σ = 115254360. Its totient is φ = 44126208.

The previous prime is 72842221. The next prime is 72842239. The reversal of 72842229 is 92224827.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12236004 + 60606225 = 3498^2 + 7785^2 .

It is not a de Polignac number, because 72842229 - 2³ = 72842221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72842193 and 72842202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72842221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3772 + ... + 12645.

It is an arithmetic number, because the mean of its divisors is an integer number (4802265).

Almost surely, 2^72842229 is an apocalyptic number.

It is an amenable number.

72842229 is a deficient number, since it is larger than the sum of its proper divisors (42412131).

72842229 is a wasteful number, since it uses less digits than its factorization.

72842229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16469 (or 16466 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72842229 is about 8534.7659018862. The cubic root of 72842229 is about 417.6326163860.

The spelling of 72842229 in words is "seventy-two million, eight hundred forty-two thousand, two hundred twenty-nine".