72412045440457 has 8 divisors (see below), whose sum is σ = 75574292815296. Its totient is φ = 69250956196752.

The previous prime is 72412045440451. The next prime is 72412045440547. The reversal of 72412045440457 is 75404454021427.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72412045440457 is a prime.

It is a super-3 number, since 3×72412045440457³ (a number of 43 digits) contains 333 as substring.

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 72412045440457.

It is not an unprimeable number, because it can be changed into a prime (72412045440451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289405003 + ... + 289655104.

It is an arithmetic number, because the mean of its divisors is an integer number (9446786601912).

Almost surely, 2^{72412045440457} is an apocalyptic number.

It is an amenable number.

72412045440457 is a deficient number, since it is larger than the sum of its proper divisors (3162247374839).

72412045440457 is a wasteful number, since it uses less digits than its factorization.

72412045440457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579065567.

The product of its (nonzero) digits is 5017600, while the sum is 49.

The spelling of 72412045440457 in words is "seventy-two trillion, four hundred twelve billion, forty-five million, four hundred forty thousand, four hundred fifty-seven".