72813303 has 32 divisors (see below), whose sum is σ = 110347200. Its totient is φ = 47443968.

The previous prime is 72813283. The next prime is 72813313. The reversal of 72813303 is 30331827.

It is not a de Polignac number, because 72813303 - 2¹⁰ = 72812279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72813313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377175 + ... + 377367.

It is an arithmetic number, because the mean of its divisors is an integer number (3448350).

Almost surely, 2^72813303 is an apocalyptic number.

72813303 is a deficient number, since it is larger than the sum of its proper divisors (37533897).

72813303 is a wasteful number, since it uses less digits than its factorization.

72813303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72813303 is about 8533.0711352947. The cubic root of 72813303 is about 417.5773277591.

The spelling of 72813303 in words is "seventy-two million, eight hundred thirteen thousand, three hundred three".