832272 has 40 divisors (see below), whose sum is σ = 2458176. Its totient is φ = 237696.

The previous prime is 832253. The next prime is 832291. The reversal of 832272 is 272238.

It is an interprime number because it is at equal distance from previous prime (832253) and next prime (832291).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8 + 3² + 2³ + 2⁹ + 7⁷ + 2¹³ .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 903 + ... + 1574.

2⁸³²²⁷² is an apocalyptic number.

It is an amenable number.

832272 is an abundant number, since it is smaller than the sum of its proper divisors (1625904).

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

832272 is a wasteful number, since it uses less digits than its factorization.

832272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2489 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 832272 is about 912.2894277585. The cubic root of 832272 is about 94.0636357997.

The spelling of 832272 in words is "eight hundred thirty-two thousand, two hundred seventy-two".