355872 has 48 divisors (see below), whose sum is σ = 1022112. Its totient is φ = 107520.

The previous prime is 355867. The next prime is 355891. The reversal of 355872 is 278553.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 355872.

It is an unprimeable number.

355872 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 7 ways as a sum of consecutive naturals, for example, 888 + ... + 1224.

It is an arithmetic number, because the mean of its divisors is an integer number (21294).

2³⁵⁵⁸⁷² is an apocalyptic number.

355872 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 355872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511056).

355872 is an abundant number, since it is smaller than the sum of its proper divisors (666240).

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

355872 is a wasteful number, since it uses less digits than its factorization.

355872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 355872 is about 596.5500817199. The cubic root of 355872 is about 70.8649154052.

The spelling of 355872 in words is "three hundred fifty-five thousand, eight hundred seventy-two".