350715072 has 112 divisors (see below), whose sum is σ = 985763840. Its totient is φ = 109734912.

The previous prime is 350715061. The next prime is 350715073. The reversal of 350715072 is 270517053.

It is not an unprimeable number, because it can be changed into a prime (350715073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462918 + ... + 463674.

Almost surely, 2^350715072 is an apocalyptic number.

350715072 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 350715072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492881920).

350715072 is an abundant number, since it is smaller than the sum of its proper divisors (635048768).

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

350715072 is a wasteful number, since it uses less digits than its factorization.

350715072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 350715072 is about 18727.3882856099. The cubic root of 350715072 is about 705.2094825400.

The spelling of 350715072 in words is "three hundred fifty million, seven hundred fifteen thousand, seventy-two".