3726272 has 56 divisors (see below), whose sum is σ = 8290560. Its totient is φ = 1647360.

The previous prime is 3726259. The next prime is 3726277. The reversal of 3726272 is 2726273.

3726272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3726277) 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 7 ways as a sum of consecutive naturals, for example, 47129 + ... + 47207.

Almost surely, 2^3726272 is an apocalyptic number.

3726272 is a gapful number since it is divisible by the number (32) 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 3726272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145280).

3726272 is an abundant number, since it is smaller than the sum of its proper divisors (4564288).

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

3726272 is a wasteful number, since it uses less digits than its factorization.

3726272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its digits is 7056, while the sum is 29.

The square root of 3726272 is about 1930.3554076905. The cubic root of 3726272 is about 155.0332498908.

Subtracting from 3726272 its reverse (2726273), we obtain a palindrome (999999).

The spelling of 3726272 in words is "three million, seven hundred twenty-six thousand, two hundred seventy-two".