3007872 has 96 divisors (see below), whose sum is σ = 9918480. Its totient is φ = 857088.

The previous prime is 3007853. The next prime is 3007889. The reversal of 3007872 is 2787003.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7878 + ... + 8250.

Almost surely, 2^3007872 is an apocalyptic number.

3007872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959240).

3007872 is an abundant number, since it is smaller than the sum of its proper divisors (6910608).

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

3007872 is a wasteful number, since it uses less digits than its factorization.

3007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3007872 is about 1734.3217694534. The cubic root of 3007872 is about 144.3509956156.

The spelling of 3007872 in words is "three million, seven thousand, eight hundred seventy-two".