9972972 has 36 divisors (see below), whose sum is σ = 25403560. Its totient is φ = 3298752.

The previous prime is 9972913. The next prime is 9972973. The reversal of 9972972 is 2792799.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9972973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4008 + ... + 6000.

Almost surely, 2^9972972 is an apocalyptic number.

It is an amenable number.

9972972 is an abundant number, since it is smaller than the sum of its proper divisors (15430588).

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

9972972 is a wasteful number, since it uses less digits than its factorization.

9972972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2137 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 9972972 is about 3158.0012666242. The cubic root of 9972972 is about 215.2491936661.

It can be divided in two parts, 997 and 2972, that added together give a square (3969 = 63²).

The spelling of 9972972 in words is "nine million, nine hundred seventy-two thousand, nine hundred seventy-two".