3972168 has 48 divisors (see below), whose sum is σ = 11016720. Its totient is φ = 1292256.

The previous prime is 3972167. The next prime is 3972173. The reversal of 3972168 is 8612793.

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 (3972167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2455 + ... + 3737.

It is an arithmetic number, because the mean of its divisors is an integer number (229515).

Almost surely, 2^3972168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3972168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508360).

3972168 is an abundant number, since it is smaller than the sum of its proper divisors (7044552).

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

3972168 is a wasteful number, since it uses less digits than its factorization.

3972168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1331 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3972168 is about 1993.0298542671. The cubic root of 3972168 is about 158.3710767515.

The spelling of 3972168 in words is "three million, nine hundred seventy-two thousand, one hundred sixty-eight".