72709493076257 has 8 divisors (see below), whose sum is σ = 73825754865696. Its totient is φ = 71594144389152.

The previous prime is 72709493076251. The next prime is 72709493076281. The reversal of 72709493076257 is 75267039490727.

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 72709493076257 - 2²⁶ = 72709425967393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72709493076251) 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, 228115103 + ... + 228433620.

It is an arithmetic number, because the mean of its divisors is an integer number (9228219358212).

Almost surely, 2^{72709493076257} is an apocalyptic number.

It is an amenable number.

72709493076257 is a deficient number, since it is larger than the sum of its proper divisors (1116261789439).

72709493076257 is a wasteful number, since it uses less digits than its factorization.

72709493076257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456551167.

The product of its (nonzero) digits is 280052640, while the sum is 68.

The spelling of 72709493076257 in words is "seventy-two trillion, seven hundred nine billion, four hundred ninety-three million, seventy-six thousand, two hundred fifty-seven".