72746322364727 has 8 divisors (see below), whose sum is σ = 79391897556480. Its totient is φ = 66106126032760.

The previous prime is 72746322364699. The next prime is 72746322364741.

72746322364727 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 72746322364727 - 2⁶ = 72746322364663 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72746322364727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72746322364327) 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 7 ways as a sum of consecutive naturals, for example, 1344686663 + ... + 1344740760.

It is an arithmetic number, because the mean of its divisors is an integer number (9923987194560).

Almost surely, 2^{72746322364727} is an apocalyptic number.

72746322364727 is a deficient number, since it is larger than the sum of its proper divisors (6645575191753).

72746322364727 is a wasteful number, since it uses less digits than its factorization.

72746322364727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689429893.

The product of its digits is 199148544, while the sum is 62.

The spelling of 72746322364727 in words is "seventy-two trillion, seven hundred forty-six billion, three hundred twenty-two million, three hundred sixty-four thousand, seven hundred twenty-seven".