72693344339627 has 8 divisors (see below), whose sum is σ = 79308196383792. Its totient is φ = 66079553328000.

The previous prime is 72693344339611. The next prime is 72693344339633.

72693344339627 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72693344339627 - 2⁴ = 72693344339611 is a prime.

It is a super-2 number, since 2×72693344339627² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72693344339677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265114874 + ... + 265388927.

It is an arithmetic number, because the mean of its divisors is an integer number (9913524547974).

Almost surely, 2^{72693344339627} is an apocalyptic number.

72693344339627 is a deficient number, since it is larger than the sum of its proper divisors (6614852044165).

72693344339627 is a wasteful number, since it uses less digits than its factorization.

72693344339627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530516269.

The product of its digits is 740710656, while the sum is 68.

The spelling of 72693344339627 in words is "seventy-two trillion, six hundred ninety-three billion, three hundred forty-four million, three hundred thirty-nine thousand, six hundred twenty-seven".