72342787200 has 384 divisors, whose sum is σ = 245471878080. Its totient is φ = 18715361280.

The previous prime is 72342787193. The next prime is 72342787217. The reversal of 72342787200 is 278724327.

It is a tau number, because it is divible by the number of its divisors (384).

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, 71413894 + ... + 71414906.

Almost surely, 2^72342787200 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 72342787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122735939040).

72342787200 is an abundant number, since it is smaller than the sum of its proper divisors (173129090880).

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

72342787200 is a wasteful number, since it uses less digits than its factorization.

72342787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 72342787200 in words is "seventy-two billion, three hundred forty-two million, seven hundred eighty-seven thousand, two hundred".