32764672 has 36 divisors (see below), whose sum is σ = 65968056. Its totient is φ = 16240640.

The previous prime is 32764651. The next prime is 32764681. The reversal of 32764672 is 27646723.

It is a happy number.

It is a zygodrome in base 2.

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 3 ways as a sum of consecutive naturals, for example, 33048 + ... + 34024.

It is an arithmetic number, because the mean of its divisors is an integer number (1832446).

Almost surely, 2^32764672 is an apocalyptic number.

32764672 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 32764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32984028).

32764672 is an abundant number, since it is smaller than the sum of its proper divisors (33203384).

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

32764672 is an equidigital number, since it uses as much as digits as its factorization.

32764672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1110 counting only the distinct ones).

The product of its digits is 84672, while the sum is 37.

The square root of 32764672 is about 5724.0433261812. The cubic root of 32764672 is about 319.9891662999.

The spelling of 32764672 in words is "thirty-two million, seven hundred sixty-four thousand, six hundred seventy-two".