72006564 has 24 divisors (see below), whose sum is σ = 192017728. Its totient is φ = 20573280.

The previous prime is 72006547. The next prime is 72006569. The reversal of 72006564 is 46560027.

It is not an unprimeable number, because it can be changed into a prime (72006569) 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 in 7 ways as a sum of consecutive naturals, for example, 428527 + ... + 428694.

Almost surely, 2^72006564 is an apocalyptic number.

It is an amenable number.

72006564 is an abundant number, since it is smaller than the sum of its proper divisors (120011164).

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

72006564 is a wasteful number, since it uses less digits than its factorization.

72006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857235 (or 857233 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 72006564 is about 8485.6681528328. The cubic root of 72006564 is about 416.0294065135.

The spelling of 72006564 in words is "seventy-two million, six thousand, five hundred sixty-four".