72566784001 has 32 divisors (see below), whose sum is σ = 79626395520. Its totient is φ = 65859072000.

The previous prime is 72566783987. The next prime is 72566784109. The reversal of 72566784001 is 10048766527.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72566784001 - 2¹⁷ = 72566652929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72566784601) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44821170 + ... + 44822788.

It is an arithmetic number, because the mean of its divisors is an integer number (2488324860).

Almost surely, 2^72566784001 is an apocalyptic number.

It is an amenable number.

72566784001 is a deficient number, since it is larger than the sum of its proper divisors (7059611519).

72566784001 is a wasteful number, since it uses less digits than its factorization.

72566784001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385.

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 72566784001 in words is "seventy-two billion, five hundred sixty-six million, seven hundred eighty-four thousand, one".