72023737408 has 336 divisors, whose sum is σ = 180963417600. Its totient is φ = 28287221760.

The previous prime is 72023737403. The next prime is 72023737417. The reversal of 72023737408 is 80473732027.

It is not an unprimeable number, because it can be changed into a prime (72023737403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166336360 + ... + 166336792.

It is an arithmetic number, because the mean of its divisors is an integer number (538581600).

Almost surely, 2^72023737408 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 72023737408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90481708800).

72023737408 is an abundant number, since it is smaller than the sum of its proper divisors (108939680192).

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

72023737408 is a wasteful number, since it uses less digits than its factorization.

72023737408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 43.

The spelling of 72023737408 in words is "seventy-two billion, twenty-three million, seven hundred thirty-seven thousand, four hundred eight".