2271672 has 64 divisors (see below), whose sum is σ = 6804000. Its totient is φ = 698112.

The previous prime is 2271637. The next prime is 2271673. The reversal of 2271672 is 2761722.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2404 + ... + 3212.

2^2271672 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 2271672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402000).

2271672 is an abundant number, since it is smaller than the sum of its proper divisors (4532328).

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

2271672 is a wasteful number, since it uses less digits than its factorization.

2271672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 827 counting only the distinct ones).

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

The square root of 2271672 is about 1507.2066878833. The cubic root of 2271672 is about 131.4564424644.

The spelling of 2271672 in words is "two million, two hundred seventy-one thousand, six hundred seventy-two".