72756576000 has 576 divisors, whose sum is σ = 271366018560. Its totient is φ = 19196006400.

The previous prime is 72756575989. The next prime is 72756576019. The reversal of 72756576000 is 67565727.

72756576000 is a `hidden beast` number, since 7 + 2 + 75 + 6 + 576 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92447607 + ... + 92448393.

It is an arithmetic number, because the mean of its divisors is an integer number (471121560).

Almost surely, 2^72756576000 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 72756576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135683009280).

72756576000 is an abundant number, since it is smaller than the sum of its proper divisors (198609442560).

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

72756576000 is a wasteful number, since it uses less digits than its factorization.

72756576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 72756576000 in words is "seventy-two billion, seven hundred fifty-six million, five hundred seventy-six thousand".