3765672 has 24 divisors (see below), whose sum is σ = 10198890. Its totient is φ = 1255200.

The previous prime is 3765661. The next prime is 3765673. The reversal of 3765672 is 2765673.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2452356 + 1313316 = 1566^2 + 1146^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×3765672³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3765673) 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, 26079 + ... + 26222.

Almost surely, 2^3765672 is an apocalyptic number.

It is an amenable number.

3765672 is an abundant number, since it is smaller than the sum of its proper divisors (6433218).

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

3765672 is a wasteful number, since it uses less digits than its factorization.

3765672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52313 (or 52306 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 3765672 is about 1940.5339471393. The cubic root of 3765672 is about 155.5777535971.

Subtracting from 3765672 its reverse (2765673), we obtain a palindrome (999999).

The spelling of 3765672 in words is "three million, seven hundred sixty-five thousand, six hundred seventy-two".