9009972 has 36 divisors (see below), whose sum is σ = 22871940. Its totient is φ = 2990592.

The previous prime is 9009961. The next prime is 9009977. The reversal of 9009972 is 2799009.

9009972 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 6687396 = 1524^2 + 2586^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9009977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12354 + ... + 13062.

Almost surely, 2^9009972 is an apocalyptic number.

It is an amenable number.

9009972 is an abundant number, since it is smaller than the sum of its proper divisors (13861968).

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

9009972 is a wasteful number, since it uses less digits than its factorization.

9009972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 9009972 is about 3001.6615398809. The cubic root of 9009972 is about 208.0851783780.

The spelling of 9009972 in words is "nine million, nine thousand, nine hundred seventy-two".