72804072000 has 224 divisors, whose sum is σ = 262254455424. Its totient is φ = 17649408000.

The previous prime is 72804071983. The next prime is 72804072001. The reversal of 72804072000 is 27040827.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (72804072001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126114 + ... + 401886.

Almost surely, 2^72804072000 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 72804072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131127227712).

72804072000 is an abundant number, since it is smaller than the sum of its proper divisors (189450383424).

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

72804072000 is a wasteful number, since it uses less digits than its factorization.

72804072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275814 (or 275794 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The spelling of 72804072000 in words is "seventy-two billion, eight hundred four million, seventy-two thousand".