2035872 has 36 divisors (see below), whose sum is σ = 5790330. Its totient is φ = 678528.

The previous prime is 2035867. The next prime is 2035879. The reversal of 2035872 is 2785302.

It can be written as a sum of positive squares in only one way, i.e., 1838736 + 197136 = 1356^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2035879) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3247 + ... + 3822.

2^2035872 is an apocalyptic number.

It is an amenable number.

2035872 is an abundant number, since it is smaller than the sum of its proper divisors (3754458).

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

2035872 is a wasteful number, since it uses less digits than its factorization.

2035872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7085 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2035872 is about 1426.8398648762. The cubic root of 2035872 is about 126.7409106142.

The spelling of 2035872 in words is "two million, thirty-five thousand, eight hundred seventy-two".