72733033727 has 4 divisors (see below), whose sum is σ = 73653705120. Its totient is φ = 71812362336.

The previous prime is 72733033691. The next prime is 72733033741.

72733033727 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 72733033727 - 2¹⁸ = 72732771583 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72733033757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 460335578 + ... + 460335735.

It is an arithmetic number, because the mean of its divisors is an integer number (18413426280).

Almost surely, 2^72733033727 is an apocalyptic number.

72733033727 is a deficient number, since it is larger than the sum of its proper divisors (920671393).

72733033727 is an equidigital number, since it uses as much as digits as its factorization.

72733033727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920671392.

The product of its (nonzero) digits is 777924, while the sum is 44.

The spelling of 72733033727 in words is "seventy-two billion, seven hundred thirty-three million, thirty-three thousand, seven hundred twenty-seven".