2971872 has 72 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 930816.

The previous prime is 2971849. The next prime is 2971873. The reversal of 2971872 is 2781792.

It is a tau number, because it is divible by the number of its divisors (72).

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 (2971873) 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, 4593 + ... + 5199.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

2^2971872 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 2971872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

2971872 is an abundant number, since it is smaller than the sum of its proper divisors (5991264).

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

2971872 is a wasteful number, since it uses less digits than its factorization.

2971872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2971872 is about 1723.9118306920. The cubic root of 2971872 is about 143.7727898335.

Adding to 2971872 its product of digits (14112), we get a 6-th power (2985984 = 12⁶).

The spelling of 2971872 in words is "two million, nine hundred seventy-one thousand, eight hundred seventy-two".