2007972 has 54 divisors (see below), whose sum is σ = 5419778. Its totient is φ = 626688.

The previous prime is 2007961. The next prime is 2007979. The reversal of 2007972 is 2797002.

It can be written as a sum of positive squares in 3 ways, for example, as 553536 + 1454436 = 744^2 + 1206^2 .

It is not an unprimeable number, because it can be changed into a prime (2007979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10308 + ... + 10500.

2^2007972 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 2007972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709889).

2007972 is an abundant number, since it is smaller than the sum of its proper divisors (3411806).

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

2007972 is a wasteful number, since it uses less digits than its factorization.

2007972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2007972 is about 1417.0292869239. The cubic root of 2007972 is about 126.1592845701.

The spelling of 2007972 in words is "two million, seven thousand, nine hundred seventy-two".