2967072 has 48 divisors (see below), whose sum is σ = 8047872. Its totient is φ = 956160.

The previous prime is 2967049. The next prime is 2967073. The reversal of 2967072 is 2707692.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (2967073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2478 + ... + 3474.

It is an arithmetic number, because the mean of its divisors is an integer number (167664).

2^2967072 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 2967072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023936).

2967072 is an abundant number, since it is smaller than the sum of its proper divisors (5080800).

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

2967072 is a wasteful number, since it uses less digits than its factorization.

2967072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 2967072 is about 1722.5190855256. The cubic root of 2967072 is about 143.6953435565.

The spelling of 2967072 in words is "two million, nine hundred sixty-seven thousand, seventy-two".