72281984 has 16 divisors (see below), whose sum is σ = 143999520. Its totient is φ = 36140928.

The previous prime is 72281981. The next prime is 72281999. The reversal of 72281984 is 48918227.

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72281981) by changing a digit.

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 as a sum of consecutive naturals, namely, 282224 + ... + 282479.

It is an arithmetic number, because the mean of its divisors is an integer number (8999970).

Almost surely, 2^72281984 is an apocalyptic number.

It is an amenable number.

72281984 is a deficient number, since it is larger than the sum of its proper divisors (71717536).

72281984 is an equidigital number, since it uses as much as digits as its factorization.

72281984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564717 (or 564705 counting only the distinct ones).

The product of its digits is 64512, while the sum is 41.

The square root of 72281984 is about 8501.8812035925. The cubic root of 72281984 is about 416.5591593214.

The spelling of 72281984 in words is "seventy-two million, two hundred eighty-one thousand, nine hundred eighty-four".