1006226207672 has 64 divisors (see below), whose sum is σ = 2316003360000. Its totient is φ = 408542950368.

The previous prime is 1006226207639. The next prime is 1006226207681. The reversal of 1006226207672 is 2767026226001.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9597878 + ... + 9702149.

It is an arithmetic number, because the mean of its divisors is an integer number (36187552500).

Almost surely, 2^{1006226207672} is an apocalyptic number.

It is an amenable number.

1006226207672 is an abundant number, since it is smaller than the sum of its proper divisors (1309777152328).

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

1006226207672 is a wasteful number, since it uses less digits than its factorization.

1006226207672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19300073 (or 19300055 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 1006226207672 in words is "one trillion, six billion, two hundred twenty-six million, two hundred seven thousand, six hundred seventy-two".