32830272 has 84 divisors (see below), whose sum is σ = 97633536. Its totient is φ = 10938240.

The previous prime is 32830253. The next prime is 32830289. The reversal of 32830272 is 27203823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14497 + ... + 16607.

It is an arithmetic number, because the mean of its divisors is an integer number (1162304).

Almost surely, 2^32830272 is an apocalyptic number.

32830272 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 32830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48816768).

32830272 is an abundant number, since it is smaller than the sum of its proper divisors (64803264).

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

32830272 is an equidigital number, since it uses as much as digits as its factorization.

32830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 32830272 is about 5729.7706760393. The cubic root of 32830272 is about 320.2025800604.

The spelling of 32830272 in words is "thirty-two million, eight hundred thirty thousand, two hundred seventy-two".