2000072 has 32 divisors (see below), whose sum is σ = 4001400. Its totient is φ = 935424.

The previous prime is 2000039. The next prime is 2000081. The reversal of 2000072 is 2700002.

It can be written as a sum of positive squares in 4 ways, for example, as 1811716 + 188356 = 1346^2 + 434^2 .

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, 8468 + ... + 8700.

2^2000072 is an apocalyptic number.

It is an amenable number.

2000072 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2000072 is a wasteful number, since it uses less digits than its factorization.

2000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 2000072 is about 1414.2390179881. The cubic root of 2000072 is about 125.9936168766.

Adding to 2000072 its reverse (2700002), we get a palindrome (4700074).

It can be divided in two parts, 20000 and 72, that multiplied together give a square (1440000 = 1200²).

The spelling of 2000072 in words is "two million, seventy-two", and thus it is an aban number and an uban number.