72828630 has 48 divisors (see below), whose sum is σ = 216406944. Its totient is φ = 16646400.

The previous prime is 72828601. The next prime is 72828631. The reversal of 72828630 is 3682827.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72828631) 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, 57171 + ... + 58430.

It is an arithmetic number, because the mean of its divisors is an integer number (4508478).

Almost surely, 2^72828630 is an apocalyptic number.

72828630 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72828630 is an abundant number, since it is smaller than the sum of its proper divisors (143578314).

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

72828630 is a wasteful number, since it uses less digits than its factorization.

72828630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115621 (or 115618 counting only the distinct ones).

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

The square root of 72828630 is about 8533.9691820395. The cubic root of 72828630 is about 417.6066253298.

The spelling of 72828630 in words is "seventy-two million, eight hundred twenty-eight thousand, six hundred thirty".