72006444 has 36 divisors (see below), whose sum is σ = 185893344. Its totient is φ = 23490912.

The previous prime is 72006437. The next prime is 72006457. The reversal of 72006444 is 44460027.

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

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, 19587 + ... + 22970.

It is an arithmetic number, because the mean of its divisors is an integer number (5163704).

Almost surely, 2^72006444 is an apocalyptic number.

It is an amenable number.

72006444 is an abundant number, since it is smaller than the sum of its proper divisors (113886900).

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

72006444 is a wasteful number, since it uses less digits than its factorization.

72006444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42614 (or 42609 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 72006444 is about 8485.6610820843. The cubic root of 72006444 is about 416.0291754069.

The spelling of 72006444 in words is "seventy-two million, six thousand, four hundred forty-four".