72066944 has 32 divisors (see below), whose sum is σ = 152020800. Its totient is φ = 33912832.

The previous prime is 72066931. The next prime is 72066959. The reversal of 72066944 is 44966027.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 72066898 and 72066907.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14384 + ... + 18735.

It is an arithmetic number, because the mean of its divisors is an integer number (4750650).

Almost surely, 2^72066944 is an apocalyptic number.

It is an amenable number.

72066944 is an abundant number, since it is smaller than the sum of its proper divisors (79953856).

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

72066944 is a wasteful number, since it uses less digits than its factorization.

72066944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33150 (or 33138 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 72066944 is about 8489.2251707679. The cubic root of 72066944 is about 416.1456590519.

The spelling of 72066944 in words is "seventy-two million, sixty-six thousand, nine hundred forty-four".