350145072 has 160 divisors (see below), whose sum is σ = 1095168000. Its totient is φ = 106686720.

The previous prime is 350145067. The next prime is 350145109. The reversal of 350145072 is 270541053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237297 + ... + 238767.

It is an arithmetic number, because the mean of its divisors is an integer number (6844800).

Almost surely, 2^350145072 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 350145072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547584000).

350145072 is an abundant number, since it is smaller than the sum of its proper divisors (745022928).

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

350145072 is a wasteful number, since it uses less digits than its factorization.

350145072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 350145072 is about 18712.1637444738. The cubic root of 350145072 is about 704.8272279208.

The spelling of 350145072 in words is "three hundred fifty million, one hundred forty-five thousand, seventy-two".