9972600 has 96 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 2416000.

The previous prime is 9972583. The next prime is 9972617. The reversal of 9972600 is 62799.

It is an interprime number because it is at equal distance from previous prime (9972583) and next prime (9972617).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5845 + ... + 7355.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 2^9972600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9972600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

9972600 is an abundant number, since it is smaller than the sum of its proper divisors (23775240).

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

9972600 is a wasteful number, since it uses less digits than its factorization.

9972600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 9972600 is about 3157.9423680618. The cubic root of 9972600 is about 215.2465173093.

The spelling of 9972600 in words is "nine million, nine hundred seventy-two thousand, six hundred".