72405265456644 has 48 divisors (see below), whose sum is σ = 168976099219200. Its totient is φ = 24130734709536.

The previous prime is 72405265456639. The next prime is 72405265456649. The reversal of 72405265456644 is 44665456250427.

72405265456644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (72405265456639) and next prime (72405265456649).

It is not an unprimeable number, because it can be changed into a prime (72405265456649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2182245247 + ... + 2182278425.

It is an arithmetic number, because the mean of its divisors is an integer number (3520335400400).

Almost surely, 2^{72405265456644} is an apocalyptic number.

It is an amenable number.

72405265456644 is an abundant number, since it is smaller than the sum of its proper divisors (96570833762556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72405265456644 is a wasteful number, since it uses less digits than its factorization.

72405265456644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60512 (or 60510 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 60.

The spelling of 72405265456644 in words is "seventy-two trillion, four hundred five billion, two hundred sixty-five million, four hundred fifty-six thousand, six hundred forty-four".