72822906 has 48 divisors (see below), whose sum is σ = 175418880. Its totient is φ = 21682080.

The previous prime is 72822889. The next prime is 72822913. The reversal of 72822906 is 60922827.

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 23 ways as a sum of consecutive naturals, for example, 2235 + ... + 12273.

It is an arithmetic number, because the mean of its divisors is an integer number (3654560).

Almost surely, 2^72822906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72822906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87709440).

72822906 is an abundant number, since it is smaller than the sum of its proper divisors (102595974).

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

72822906 is a wasteful number, since it uses less digits than its factorization.

72822906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091 (or 10088 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72822906 is about 8533.6338098140. The cubic root of 72822906 is about 417.5956843809.

The spelling of 72822906 in words is "seventy-two million, eight hundred twenty-two thousand, nine hundred six".