72825282 has 12 divisors (see below), whose sum is σ = 157788150. Its totient is φ = 24275088.

The previous prime is 72825257. The next prime is 72825299. The reversal of 72825282 is 28252827.

It can be written as a sum of positive squares in only one way, i.e., 59582961 + 13242321 = 7719^2 + 3639^2 .

It is a super-3 number, since 3×72825282³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2022907 + ... + 2022942.

Almost surely, 2^72825282 is an apocalyptic number.

72825282 is an abundant number, since it is smaller than the sum of its proper divisors (84962868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72825282 is a wasteful number, since it uses less digits than its factorization.

72825282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045857 (or 4045854 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 72825282 is about 8533.7730225264. The cubic root of 72825282 is about 417.6002259764.

The spelling of 72825282 in words is "seventy-two million, eight hundred twenty-five thousand, two hundred eighty-two".