339075072 has 280 divisors, whose sum is σ = 1173547056. Its totient is φ = 95551488.

The previous prime is 339075059. The next prime is 339075097. The reversal of 339075072 is 270570933.

It is a happy number.

It is a super-2 number, since 2×339075072² = 229943808903610368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4644828 + ... + 4644900.

Almost surely, 2^339075072 is an apocalyptic number.

339075072 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 339075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586773528).

339075072 is an abundant number, since it is smaller than the sum of its proper divisors (834471984).

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

339075072 is an frugal number, since it uses more digits than its factorization.

339075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 339075072 is about 18413.9912023439. The cubic root of 339075072 is about 697.3197314227.

The spelling of 339075072 in words is "three hundred thirty-nine million, seventy-five thousand, seventy-two".