9972568 has 16 divisors (see below), whose sum is σ = 19683000. Its totient is φ = 4723776.

The previous prime is 9972559. The next prime is 9972569. The reversal of 9972568 is 8652799.

It is a super-2 number, since 2×9972568² = 198904225029248, which contains 22 as substring.

It is a d-powerful number, because it can be written as 9⁴ + 9⁴ + 7⁸ + 2²¹ + 5³ + 6³ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32653 + ... + 32956.

Almost surely, 2^9972568 is an apocalyptic number.

It is an amenable number.

9972568 is a deficient number, since it is larger than the sum of its proper divisors (9710432).

9972568 is a wasteful number, since it uses less digits than its factorization.

9972568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65634 (or 65630 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 9972568 is about 3157.9373014675. The cubic root of 9972568 is about 215.2462870819.

The spelling of 9972568 in words is "nine million, nine hundred seventy-two thousand, five hundred sixty-eight".