72856527600 has 240 divisors, whose sum is σ = 238513127040. Its totient is φ = 19004697600.

The previous prime is 72856527559. The next prime is 72856527629. The reversal of 72856527600 is 672565827.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×72856527600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72856527600.

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, 14936362 + ... + 14941238.

It is an arithmetic number, because the mean of its divisors is an integer number (993804696).

Almost surely, 2^72856527600 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 72856527600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119256563520).

72856527600 is an abundant number, since it is smaller than the sum of its proper divisors (165656599440).

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

72856527600 is a wasteful number, since it uses less digits than its factorization.

72856527600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 72856527600 in words is "seventy-two billion, eight hundred fifty-six million, five hundred twenty-seven thousand, six hundred".