399072 has 24 divisors (see below), whose sum is σ = 1047816. Its totient is φ = 132992.

The previous prime is 399071. The next prime is 399079. The reversal of 399072 is 270993.

399072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×399072² = 318516922368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399071) 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, 1983 + ... + 2174.

It is an arithmetic number, because the mean of its divisors is an integer number (43659).

2³⁹⁹⁰⁷² is an apocalyptic number.

399072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

399072 is an abundant number, since it is smaller than the sum of its proper divisors (648744).

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

399072 is a wasteful number, since it uses less digits than its factorization.

399072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 399072 is about 631.7214576061. The cubic root of 399072 is about 73.6236061645.

The spelling of 399072 in words is "three hundred ninety-nine thousand, seventy-two".