2335872 has 128 divisors (see below), whose sum is σ = 7833600. Its totient is φ = 599040.

The previous prime is 2335871. The next prime is 2335877. The reversal of 2335872 is 2785332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2¹¹ + 3¹⁰ + 3¹¹ + 5³ + 8 + 7³ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2335871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29529 + ... + 29607.

It is an arithmetic number, because the mean of its divisors is an integer number (61200).

2^2335872 is an apocalyptic number.

2335872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916800).

2335872 is an abundant number, since it is smaller than the sum of its proper divisors (5497728).

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

2335872 is a wasteful number, since it uses less digits than its factorization.

2335872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 2335872 is about 1528.3559794760. The cubic root of 2335872 is about 132.6833252091.

It can be divided in two parts, 233 and 5872, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 2335872 in words is "two million, three hundred thirty-five thousand, eight hundred seventy-two".