72808866 has 48 divisors (see below), whose sum is σ = 174053880. Its totient is φ = 21853440.

The previous prime is 72808861. The next prime is 72808873. The reversal of 72808866 is 66880827.

It can be written as a sum of positive squares in 4 ways, for example, as 9272025 + 63536841 = 3045^2 + 7971^2 .

It is a super-2 number, since 2×72808866² = 10602261936411912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72808861) 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, 5800 + ... + 13388.

Almost surely, 2^72808866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72808866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87026940).

72808866 is an abundant number, since it is smaller than the sum of its proper divisors (101245014).

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

72808866 is a wasteful number, since it uses less digits than its factorization.

72808866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 72808866 is about 8532.8111428767. The cubic root of 72808866 is about 417.5688456632.

The spelling of 72808866 in words is "seventy-two million, eight hundred eight thousand, eight hundred sixty-six".