72033660 has 36 divisors (see below), whose sum is σ = 218502648. Its totient is φ = 19208928.

The previous prime is 72033623. The next prime is 72033671. The reversal of 72033660 is 6633027.

It is a tau number, because it is divible by the number of its divisors (36).

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, 199914 + ... + 200273.

It is an arithmetic number, because the mean of its divisors is an integer number (6069518).

Almost surely, 2^72033660 is an apocalyptic number.

It is an amenable number.

72033660 is an abundant number, since it is smaller than the sum of its proper divisors (146468988).

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

72033660 is a wasteful number, since it uses less digits than its factorization.

72033660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400202 (or 400197 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 72033660 is about 8487.2645770001. The cubic root of 72033660 is about 416.0815837896.

Adding to 72033660 its reverse (6633027), we get a palindrome (78666687).

The spelling of 72033660 in words is "seventy-two million, thirty-three thousand, six hundred sixty".