72828765360 has 600 divisors, whose sum is σ = 277955941824. Its totient is φ = 17662095360.

The previous prime is 72828765343. The next prime is 72828765367. The reversal of 72828765360 is 6356782827.

72828765360 is a `hidden beast` number, since 7 + 28 + 2 + 87 + 6 + 536 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72828765297 and 72828765306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72828765367) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 79943305 + ... + 79944215.

Almost surely, 2^72828765360 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 72828765360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138977970912).

72828765360 is an abundant number, since it is smaller than the sum of its proper divisors (205127176464).

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

72828765360 is a wasteful number, since it uses less digits than its factorization.

72828765360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 72828765360 in words is "seventy-two billion, eight hundred twenty-eight million, seven hundred sixty-five thousand, three hundred sixty".