32725 has 24 divisors (see below), whose sum is σ = 53568. Its totient is φ = 19200.

The previous prime is 32719. The next prime is 32749. The reversal of 32725 is 52723.

32725 = T₄₅ + T₄₆ + ... + T₆₅.

It is a happy number.

It is not a de Polignac number, because 32725 - 2³ = 32717 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917 + ... + 1933.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

2³²⁷²⁵ is an apocalyptic number.

32725 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32725 is a deficient number, since it is larger than the sum of its proper divisors (20843).

32725 is a wasteful number, since it uses less digits than its factorization.

32725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 40 counting only the distinct ones).

The product of its digits is 420, while the sum is 19.

The square root of 32725 is about 180.9005251513. The cubic root of 32725 is about 31.9859964770.

It can be divided in two parts, 32 and 725, that added together give a palindrome (757).

The spelling of 32725 in words is "thirty-two thousand, seven hundred twenty-five".