72005772 has 12 divisors (see below), whose sum is σ = 168013496. Its totient is φ = 24001920.

The previous prime is 72005749. The next prime is 72005789. The reversal of 72005772 is 27750027.

It is a tau number, because it is divible by the number of its divisors (12).

72005772 is a modest number, since divided by 5772 gives 72 as remainder.

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, 3000229 + ... + 3000252.

Almost surely, 2^72005772 is an apocalyptic number.

It is an amenable number.

72005772 is an abundant number, since it is smaller than the sum of its proper divisors (96007724).

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

72005772 is a wasteful number, since it uses less digits than its factorization.

72005772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000488 (or 6000486 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 72005772 is about 8485.6214857841. The cubic root of 72005772 is about 416.0278812058.

Adding to 72005772 its reverse (27750027), we get a palindrome (99755799).

The spelling of 72005772 in words is "seventy-two million, five thousand, seven hundred seventy-two".