396672 has 32 divisors (see below), whose sum is σ = 1054680. Its totient is φ = 132096.

The previous prime is 396667. The next prime is 396679. The reversal of 396672 is 276693.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396672.

It is not an unprimeable number, because it can be changed into a prime (396679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133 + ... + 900.

2³⁹⁶⁶⁷² is an apocalyptic number.

396672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

396672 is an abundant number, since it is smaller than the sum of its proper divisors (658008).

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

396672 is a wasteful number, since it uses less digits than its factorization.

396672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1038 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 396672 is about 629.8190216245. The cubic root of 396672 is about 73.4757196861.

The spelling of 396672 in words is "three hundred ninety-six thousand, six hundred seventy-two".