72802735200 has 360 divisors, whose sum is σ = 285923605968. Its totient is φ = 17920465920.

The previous prime is 72802735177. The next prime is 72802735273. The reversal of 72802735200 is 253720827.

It is a happy number.

72802735200 is a `hidden beast` number, since 7 + 280 + 27 + 352 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 799189 + ... + 885611.

Almost surely, 2^72802735200 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 72802735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142961802984).

72802735200 is an abundant number, since it is smaller than the sum of its proper divisors (213120870768).

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

72802735200 is a wasteful number, since it uses less digits than its factorization.

72802735200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86468 (or 86446 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 72802735200 in words is "seventy-two billion, eight hundred two million, seven hundred thirty-five thousand, two hundred".