72443048337920 has 320 divisors, whose sum is σ = 190723550349024. Its totient is φ = 26224290693120.

The previous prime is 72443048337893. The next prime is 72443048337937. The reversal of 72443048337920 is 2973384034427.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 33963159595264 + 38479888742656 = 5827792^2 + 6203216^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2527568390 + ... + 2527597050.

Almost surely, 2^{72443048337920} 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 72443048337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95361775174512).

72443048337920 is an abundant number, since it is smaller than the sum of its proper divisors (118280502011104).

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

72443048337920 is a wasteful number, since it uses less digits than its factorization.

72443048337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30183 (or 30167 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 56.

The spelling of 72443048337920 in words is "seventy-two trillion, four hundred forty-three billion, forty-eight million, three hundred thirty-seven thousand, nine hundred twenty".