3612672 has 126 divisors (see below), whose sum is σ = 12139803. Its totient is φ = 1032192.

The previous prime is 3612671. The next prime is 3612673. The reversal of 3612672 is 2762163.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3612671) and next prime (3612673).

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 1806336 = 1344^2 + 1344^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1344.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3024) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (3612671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 516093 + ... + 516099.

Almost surely, 2^3612672 is an apocalyptic number.

3612672 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 3612672

3612672 is an abundant number, since it is smaller than the sum of its proper divisors (8527131).

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

3612672 is an equidigital number, since it uses as much as digits as its factorization.

3612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 12 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3612672 is about 1900.7030278294. The cubic root of 3612672 is about 153.4415031732.

The spelling of 3612672 in words is "three million, six hundred twelve thousand, six hundred seventy-two".