352059072 has 112 divisors (see below), whose sum is σ = 982614240. Its totient is φ = 111075328.

The previous prime is 352059023. The next prime is 352059079. The reversal of 352059072 is 270950253.

352059072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (352059079) 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, 294508 + ... + 295700.

Almost surely, 2^352059072 is an apocalyptic number.

352059072 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 352059072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491307120).

352059072 is an abundant number, since it is smaller than the sum of its proper divisors (630555168).

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

352059072 is a wasteful number, since it uses less digits than its factorization.

352059072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 352059072 is about 18763.2372473409. The cubic root of 352059072 is about 706.1091619652.

The spelling of 352059072 in words is "three hundred fifty-two million, fifty-nine thousand, seventy-two".