72066033 has 12 divisors (see below), whose sum is σ = 112102900. Its totient is φ = 44348256.

The previous prime is 72066013. The next prime is 72066037. The reversal of 72066033 is 33066027.

It can be written as a sum of positive squares in 2 ways, for example, as 9529569 + 62536464 = 3087^2 + 7908^2 .

It is not a de Polignac number, because 72066033 - 2¹³ = 72057841 is a prime.

It is a super-2 number, since 2×72066033² = 10387026224714178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72065988 and 72066006.

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 11 ways as a sum of consecutive naturals, for example, 307858 + ... + 308091.

Almost surely, 2^72066033 is an apocalyptic number.

It is an amenable number.

72066033 is a deficient number, since it is larger than the sum of its proper divisors (40036867).

72066033 is a wasteful number, since it uses less digits than its factorization.

72066033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615968 (or 615965 counting only the distinct ones).

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

The square root of 72066033 is about 8489.1715143470. The cubic root of 72066033 is about 416.1439055420.

The spelling of 72066033 in words is "seventy-two million, sixty-six thousand, thirty-three".