72643040073 has 24 divisors (see below), whose sum is σ = 105168148800. Its totient is φ = 48318371424.

The previous prime is 72643040069. The next prime is 72643040101. The reversal of 72643040073 is 37004034627.

It is a happy number.

72643040073 is a `hidden beast` number, since 7 + 2 + 643 + 0 + 4 + 0 + 0 + 7 + 3 = 666.

It is not a de Polignac number, because 72643040073 - 2² = 72643040069 is a prime.

It is a super-2 number, since 2×72643040073² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72643040473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8169636 + ... + 8178522.

It is an arithmetic number, because the mean of its divisors is an integer number (4382006200).

Almost surely, 2^72643040073 is an apocalyptic number.

It is an amenable number.

72643040073 is a deficient number, since it is larger than the sum of its proper divisors (32525108727).

72643040073 is a wasteful number, since it uses less digits than its factorization.

72643040073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10861 (or 10858 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 72643040073 in words is "seventy-two billion, six hundred forty-three million, forty thousand, seventy-three".