72598561763440 has 40 divisors (see below), whose sum is σ = 168933856536720. Its totient is φ = 29014960114176.

The previous prime is 72598561763393. The next prime is 72598561763449. The reversal of 72598561763440 is 4436716589527.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72598561763449) 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, 382163685 + ... + 382353604.

It is an arithmetic number, because the mean of its divisors is an integer number (4223346413418).

It is a 2-persistent number, because it is pandigital, and so is 2⋅72598561763440 = 145197123526880, but 3⋅72598561763440 = 217795685290320 is not.

Almost surely, 2^{72598561763440} is an apocalyptic number.

It is an amenable number.

72598561763440 is an abundant number, since it is smaller than the sum of its proper divisors (96335294773280).

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

72598561763440 is a wasteful number, since it uses less digits than its factorization.

72598561763440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764518489 (or 764518483 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 67.

The spelling of 72598561763440 in words is "seventy-two trillion, five hundred ninety-eight billion, five hundred sixty-one million, seven hundred sixty-three thousand, four hundred forty".