32764072 has 32 divisors (see below), whose sum is σ = 68029920. Its totient is φ = 14667840.

The previous prime is 32764063. The next prime is 32764073. The reversal of 32764072 is 27046723.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32764073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3118 + ... + 8674.

It is an arithmetic number, because the mean of its divisors is an integer number (2125935).

Almost surely, 2^32764072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32764072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34014960).

32764072 is an abundant number, since it is smaller than the sum of its proper divisors (35265848).

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

32764072 is a wasteful number, since it uses less digits than its factorization.

32764072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5641 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 32764072 is about 5723.9909154365. The cubic root of 32764072 is about 319.9872130307.

The spelling of 32764072 in words is "thirty-two million, seven hundred sixty-four thousand, seventy-two".