2235772 has 72 divisors (see below), whose sum is σ = 5343408. Its totient is φ = 806400.

The previous prime is 2235767. The next prime is 2235773. The reversal of 2235772 is 2775322.

2235772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2¹² + 2¹⁴ + 3² + 5⁹ + 7 + 7 + 2¹⁸ .

Its product of digits (5880) is a multiple of the sum of its prime divisors (98).

It is a self number, because there is not a number n which added to its sum of digits gives 2235772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235773) 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 23 ways as a sum of consecutive naturals, for example, 36622 + ... + 36682.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

2^2235772 is an apocalyptic number.

2235772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2235772 is the 748-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671704).

2235772 is an abundant number, since it is smaller than the sum of its proper divisors (3107636).

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

2235772 is a wasteful number, since it uses less digits than its factorization.

2235772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its digits is 5880, while the sum is 28.

The square root of 2235772 is about 1495.2498119044. The cubic root of 2235772 is about 130.7602787235.

It can be divided in two parts, 223 and 5772, that added together give a palindrome (5995).

The spelling of 2235772 in words is "two million, two hundred thirty-five thousand, seven hundred seventy-two".