345072 has 80 divisors (see below), whose sum is σ = 1111040. Its totient is φ = 89856.

The previous prime is 345067. The next prime is 345089. The reversal of 345072 is 270543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 4.

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 345072.

It is an unprimeable number.

345072 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 15 ways as a sum of consecutive naturals, for example, 4329 + ... + 4407.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

2³⁴⁵⁰⁷² 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 345072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555520).

345072 is an abundant number, since it is smaller than the sum of its proper divisors (765968).

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

345072 is a wasteful number, since it uses less digits than its factorization.

345072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 345072 is about 587.4282934963. The cubic root of 345072 is about 70.1406695072.

Subtracting from 345072 its reverse (270543), we obtain a square (74529 = 273²).

The spelling of 345072 in words is "three hundred forty-five thousand, seventy-two".