2072672 has 48 divisors (see below), whose sum is σ = 4919040. Its totient is φ = 839808.

The previous prime is 2072663. The next prime is 2072683. The reversal of 2072672 is 2762702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4013 + ... + 4499.

It is an arithmetic number, because the mean of its divisors is an integer number (102480).

2^2072672 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 2072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459520).

2072672 is an abundant number, since it is smaller than the sum of its proper divisors (2846368).

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

2072672 is a wasteful number, since it uses less digits than its factorization.

2072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 2072672 is about 1439.6777417186. The cubic root of 2072672 is about 127.5000025631.

It can be divided in two parts, 2072 and 672, that added together give a cube (2744 = 14³).

The spelling of 2072672 in words is "two million, seventy-two thousand, six hundred seventy-two".