399672 has 96 divisors (see below), whose sum is σ = 1354080. Its totient is φ = 103680.

The previous prime is 399667. The next prime is 399677. The reversal of 399672 is 276993.

It is an interprime number because it is at equal distance from previous prime (399667) and next prime (399677).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399677) by changing a digit.

399672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6522 + ... + 6582.

It is an arithmetic number, because the mean of its divisors is an integer number (14105).

2³⁹⁹⁶⁷² 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 399672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040).

399672 is an abundant number, since it is smaller than the sum of its proper divisors (954408).

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

399672 is a wasteful number, since it uses less digits than its factorization.

399672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 86 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 399672 is about 632.1961720858. The cubic root of 399672 is about 73.6604850933.

The spelling of 399672 in words is "three hundred ninety-nine thousand, six hundred seventy-two".