345075072 has 128 divisors (see below), whose sum is σ = 969408000. Its totient is φ = 108539904.

The previous prime is 345075067. The next prime is 345075121. The reversal of 345075072 is 270570543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785829 + ... + 786267.

It is an arithmetic number, because the mean of its divisors is an integer number (7573500).

Almost surely, 2^345075072 is an apocalyptic number.

345075072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484704000).

345075072 is an abundant number, since it is smaller than the sum of its proper divisors (624332928).

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

345075072 is a wasteful number, since it uses less digits than its factorization.

345075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 345075072 is about 18576.1963813909. The cubic root of 345075072 is about 701.4087764875.

The spelling of 345075072 in words is "three hundred forty-five million, seventy-five thousand, seventy-two".