72545620577760 has 2304 divisors, whose sum is σ = 292992967507968. Its totient is φ = 16179687014400.

The previous prime is 72545620577747. The next prime is 72545620577863. The reversal of 72545620577760 is 6777502654527.

It is a happy number.

72545620577760 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 56 + 2 + 0 + 577 + 7 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 155343941047 + ... + 155343941513.

It is an arithmetic number, because the mean of its divisors is an integer number (127167086592).

Almost surely, 2^{72545620577760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72545620577760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146496483753984).

72545620577760 is an abundant number, since it is smaller than the sum of its proper divisors (220447346930208).

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

72545620577760 is a wasteful number, since it uses less digits than its factorization.

72545620577760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 172872000, while the sum is 63.

The spelling of 72545620577760 in words is "seventy-two trillion, five hundred forty-five billion, six hundred twenty million, five hundred seventy-seven thousand, seven hundred sixty".