32742720 has 84 divisors (see below), whose sum is σ = 112631220. Its totient is φ = 8730624.

The previous prime is 32742713. The next prime is 32742733. The reversal of 32742720 is 2724723.

It can be written as a sum of positive squares in 2 ways, for example, as 15303744 + 17438976 = 3912^2 + 4176^2 .

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, 2805 + ... + 8564.

Almost surely, 2^32742720 is an apocalyptic number.

32742720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32742720 is an abundant number, since it is smaller than the sum of its proper divisors (79888500).

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

32742720 is a wasteful number, since it uses less digits than its factorization.

32742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11392 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 32742720 is about 5722.1254792254. The cubic root of 32742720 is about 319.9176871620.

The spelling of 32742720 in words is "thirty-two million, seven hundred forty-two thousand, seven hundred twenty".