72828868 has 24 divisors (see below), whose sum is σ = 146018432. Its totient is φ = 31135104.

The previous prime is 72828859. The next prime is 72828871. The reversal of 72828868 is 86882827.

It is a super-2 number, since 2×72828868² = 10608088028322848, which contains 22 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 7 ways as a sum of consecutive naturals, for example, 9121 + ... + 15127.

Almost surely, 2^72828868 is an apocalyptic number.

It is an amenable number.

72828868 is an abundant number, since it is smaller than the sum of its proper divisors (73189564).

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

72828868 is a wasteful number, since it uses less digits than its factorization.

72828868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6449 counting only the distinct ones).

The product of its digits is 688128, while the sum is 49.

The square root of 72828868 is about 8533.9831263016. The cubic root of 72828868 is about 417.6070802345.

The spelling of 72828868 in words is "seventy-two million, eight hundred twenty-eight thousand, eight hundred sixty-eight".