2967872 has 28 divisors (see below), whose sum is σ = 5974080. Its totient is φ = 1462656.

The previous prime is 2967827. The next prime is 2967893. The reversal of 2967872 is 2787692.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4763 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (213360).

2^2967872 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 2967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987040).

2967872 is an abundant number, since it is smaller than the sum of its proper divisors (3006208).

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

2967872 is an equidigital number, since it uses as much as digits as its factorization.

2967872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 2967872 is about 1722.7512879113. The cubic root of 2967872 is about 143.7082570668.

The spelling of 2967872 in words is "two million, nine hundred sixty-seven thousand, eight hundred seventy-two".