9000672 has 96 divisors (see below), whose sum is σ = 25310880. Its totient is φ = 2795520.

The previous prime is 9000637. The next prime is 9000683. The reversal of 9000672 is 2760009.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147522 + ... + 147582.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

Almost surely, 2^9000672 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 9000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655440).

9000672 is an abundant number, since it is smaller than the sum of its proper divisors (16310208).

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

9000672 is a wasteful number, since it uses less digits than its factorization.

9000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 9000672 is about 3000.1119979094. Note that the first 3 decimals coincide. The cubic root of 9000672 is about 208.0135592739.

The spelling of 9000672 in words is "nine million, six hundred seventy-two", and thus it is an aban number.