72903285 has 96 divisors (see below), whose sum is σ = 163887360. Its totient is φ = 29113344.

The previous prime is 72903269. The next prime is 72903319. The reversal of 72903285 is 58230927.

It is a happy number.

It is not a de Polignac number, because 72903285 - 2⁴ = 72903269 is a prime.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 77337 + ... + 78273.

It is an arithmetic number, because the mean of its divisors is an integer number (1707160).

Almost surely, 2^72903285 is an apocalyptic number.

It is an amenable number.

72903285 is an abundant number, since it is smaller than the sum of its proper divisors (90984075).

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

72903285 is a wasteful number, since it uses less digits than its factorization.

72903285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 72903285 is about 8538.3420521785. The cubic root of 72903285 is about 417.7492696714.

The spelling of 72903285 in words is "seventy-two million, nine hundred three thousand, two hundred eighty-five".