72993019320 has 256 divisors, whose sum is σ = 262279987200. Its totient is φ = 17950118400.

The previous prime is 72993019303. The next prime is 72993019361. The reversal of 72993019320 is 2391039927.

It is a happy number.

72993019320 is a `hidden beast` number, since 7 + 299 + 30 + 1 + 9 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20370249 + ... + 20373831.

It is an arithmetic number, because the mean of its divisors is an integer number (1024531200).

Almost surely, 2^72993019320 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 72993019320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131139993600).

72993019320 is an abundant number, since it is smaller than the sum of its proper divisors (189286967880).

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

72993019320 is a wasteful number, since it uses less digits than its factorization.

72993019320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 72993019320 in words is "seventy-two billion, nine hundred ninety-three million, nineteen thousand, three hundred twenty".