72066036 has 24 divisors (see below), whose sum is σ = 192176320. Its totient is φ = 20590272.

The previous prime is 72066013. The next prime is 72066037. The reversal of 72066036 is 63066027.

It is a junction number, because it is equal to n+sod(n) for n = 72065994 and 72066012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72066037) 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, 428881 + ... + 429048.

Almost surely, 2^72066036 is an apocalyptic number.

It is an amenable number.

72066036 is an abundant number, since it is smaller than the sum of its proper divisors (120110284).

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

72066036 is a wasteful number, since it uses less digits than its factorization.

72066036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857943 (or 857941 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 72066036 is about 8489.1716910427. The cubic root of 72066036 is about 416.1439113165.

Subtracting from 72066036 its reverse (63066027), we obtain a palindrome (9000009).

The spelling of 72066036 in words is "seventy-two million, sixty-six thousand, thirty-six".