72857088000 has 624 divisors, whose sum is σ = 266977585056. Its totient is φ = 19110297600.

The previous prime is 72857087957. The next prime is 72857088011. The reversal of 72857088000 is 88075827.

It is a happy number.

72857088000 is a `hidden beast` number, since 72 + 8 + 570 + 8 + 8 + 0 + 0 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 446975919 + ... + 446976081.

It is an arithmetic number, because the mean of its divisors is an integer number (427848694).

Almost surely, 2^72857088000 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 72857088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133488792528).

72857088000 is an abundant number, since it is smaller than the sum of its proper divisors (194120497056).

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

72857088000 is a wasteful number, since it uses less digits than its factorization.

72857088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 72857088000 in words is "seventy-two billion, eight hundred fifty-seven million, eighty-eight thousand".