193272 has 16 divisors (see below), whose sum is σ = 483240. Its totient is φ = 64416.

The previous prime is 193261. The next prime is 193283. The reversal of 193272 is 272391.

It is an interprime number because it is at equal distance from previous prime (193261) and next prime (193283).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8053 = 193272 / (1 + 9 + 3 + 2 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

193272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4003 + ... + 4050.

2¹⁹³²⁷² is an apocalyptic number.

193272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

193272 is an abundant number, since it is smaller than the sum of its proper divisors (289968).

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

193272 is a wasteful number, since it uses less digits than its factorization.

193272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8062 (or 8058 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 193272 is about 439.6271147234. The cubic root of 193272 is about 57.8171012164.

It can be divided in two parts, 193 and 272, that added together give a triangular number (465 = T₃₀).

The spelling of 193272 in words is "one hundred ninety-three thousand, two hundred seventy-two".