9972618001 has 16 divisors (see below), whose sum is σ = 10584858240. Its totient is φ = 9375505920.

The previous prime is 9972617981. The next prime is 9972618011. The reversal of 9972618001 is 1008162799.

It is a cyclic number.

It is not a de Polignac number, because 9972618001 - 2⁹ = 9972617489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9972618011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3145345 + ... + 3148513.

It is an arithmetic number, because the mean of its divisors is an integer number (661553640).

Almost surely, 2^9972618001 is an apocalyptic number.

It is an amenable number.

9972618001 is a deficient number, since it is larger than the sum of its proper divisors (612240239).

9972618001 is a wasteful number, since it uses less digits than its factorization.

9972618001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496.

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 9972618001 is about 99862.9961547319. The cubic root of 9972618001 is about 2152.4664681914.

The spelling of 9972618001 in words is "nine billion, nine hundred seventy-two million, six hundred eighteen thousand, one".