355272192 has 240 divisors, whose sum is σ = 1151587008. Its totient is φ = 104509440.

The previous prime is 355272179. The next prime is 355272199. The reversal of 355272192 is 291272553.

355272192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355272199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2179503 + ... + 2179665.

Almost surely, 2^355272192 is an apocalyptic number.

355272192 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 355272192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575793504).

355272192 is an abundant number, since it is smaller than the sum of its proper divisors (796314816).

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

355272192 is a wasteful number, since it uses less digits than its factorization.

355272192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 355272192 is about 18848.6655230549. The cubic root of 355272192 is about 708.2507969098.

The spelling of 355272192 in words is "three hundred fifty-five million, two hundred seventy-two thousand, one hundred ninety-two".