351072 has 72 divisors (see below), whose sum is σ = 1061424. Its totient is φ = 109824.

The previous prime is 351061. The next prime is 351077. The reversal of 351072 is 270153.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351077) by changing a digit.

351072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6598 + ... + 6650.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2³⁵¹⁰⁷² is an apocalyptic number.

351072 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 351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712).

351072 is an abundant number, since it is smaller than the sum of its proper divisors (710352).

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

351072 is a wasteful number, since it uses less digits than its factorization.

351072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 351072 is about 592.5132909902. The cubic root of 351072 is about 70.5448635525.

The spelling of 351072 in words is "three hundred fifty-one thousand, seventy-two".