3672192 has 64 divisors (see below), whose sum is σ = 9963360. Its totient is φ = 1198080.

The previous prime is 3672181. The next prime is 3672197. The reversal of 3672192 is 2912763.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3672197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27967 + ... + 28097.

Almost surely, 2^3672192 is an apocalyptic number.

3672192 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 3672192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981680).

3672192 is an abundant number, since it is smaller than the sum of its proper divisors (6291168).

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

3672192 is a wasteful number, since it uses less digits than its factorization.

3672192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 3672192 is about 1916.2964280090. The cubic root of 3672192 is about 154.2795843146.

The spelling of 3672192 in words is "three million, six hundred seventy-two thousand, one hundred ninety-two".