72470203872 has 192 divisors, whose sum is σ = 214950371328. Its totient is φ = 21180096000.

The previous prime is 72470203859. The next prime is 72470203877. The reversal of 72470203872 is 27830207427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72470203877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10046347 + ... + 10053557.

It is an arithmetic number, because the mean of its divisors is an integer number (1119533184).

Almost surely, 2^72470203872 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 72470203872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107475185664).

72470203872 is an abundant number, since it is smaller than the sum of its proper divisors (142480167456).

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

72470203872 is a wasteful number, since it uses less digits than its factorization.

72470203872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7573 (or 7565 counting only the distinct ones).

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

The spelling of 72470203872 in words is "seventy-two billion, four hundred seventy million, two hundred three thousand, eight hundred seventy-two".