342672 has 60 divisors (see below), whose sum is σ = 989520. Its totient is φ = 102080.

The previous prime is 342659. The next prime is 342673. The reversal of 342672 is 276243.

342672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3⁶ + 4⁹ + 6⁶ + 2⁵ + 7³ + 2¹⁵ .

It is not an unprimeable number, because it can be changed into a prime (342673) by changing a digit.

342672 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 11 ways as a sum of consecutive naturals, for example, 5779 + ... + 5837.

It is an arithmetic number, because the mean of its divisors is an integer number (16492).

2³⁴²⁶⁷² 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 342672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494760).

342672 is an abundant number, since it is smaller than the sum of its proper divisors (646848).

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

342672 is a wasteful number, since it uses less digits than its factorization.

342672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 342672 is about 585.3819266086. The cubic root of 342672 is about 69.9776799587.

The spelling of 342672 in words is "three hundred forty-two thousand, six hundred seventy-two".