72835928800 has 144 divisors (see below), whose sum is σ = 188698235040. Its totient is φ = 27358248960.

The previous prime is 72835928761. The next prime is 72835928831. The reversal of 72835928800 is 882953827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6209341 + ... + 6221059.

It is an arithmetic number, because the mean of its divisors is an integer number (1310404410).

Almost surely, 2^72835928800 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 72835928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94349117520).

72835928800 is an abundant number, since it is smaller than the sum of its proper divisors (115862306240).

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

72835928800 is a wasteful number, since it uses less digits than its factorization.

72835928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12213 (or 12200 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 72835928800 in words is "seventy-two billion, eight hundred thirty-five million, nine hundred twenty-eight thousand, eight hundred".