72066136 has 24 divisors (see below), whose sum is σ = 137130660. Its totient is φ = 35505680.

The previous prime is 72066133. The next prime is 72066139. The reversal of 72066136 is 63166027.

It is an interprime number because it is at equal distance from previous prime (72066133) and next prime (72066139).

It is a junction number, because it is equal to n+sod(n) for n = 72066098 and 72066107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72066133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39435 + ... + 41221.

Almost surely, 2^72066136 is an apocalyptic number.

It is an amenable number.

72066136 is a deficient number, since it is larger than the sum of its proper divisors (65064524).

72066136 is a wasteful number, since it uses less digits than its factorization.

72066136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 72066136 is about 8489.1775808968. The cubic root of 72066136 is about 416.1441037991.

The spelling of 72066136 in words is "seventy-two million, sixty-six thousand, one hundred thirty-six".