32766072 has 32 divisors (see below), whose sum is σ = 86734800. Its totient is φ = 10279424.

The previous prime is 32766067. The next prime is 32766073. The reversal of 32766072 is 27066723.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32766073) 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, 39747 + ... + 40562.

Almost surely, 2^32766072 is an apocalyptic number.

It is an amenable number.

32766072 is an abundant number, since it is smaller than the sum of its proper divisors (53968728).

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

32766072 is a wasteful number, since it uses less digits than its factorization.

32766072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80335 (or 80331 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 32766072 is about 5724.1656160527. The cubic root of 32766072 is about 319.9937238352.

The spelling of 32766072 in words is "thirty-two million, seven hundred sixty-six thousand, seventy-two".