72438750960 has 480 divisors, whose sum is σ = 248178401280. Its totient is φ = 17458219008.

The previous prime is 72438750947. The next prime is 72438750971. The reversal of 72438750960 is 6905783427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189134929 + ... + 189135311.

It is an arithmetic number, because the mean of its divisors is an integer number (517038336).

Almost surely, 2^72438750960 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 72438750960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124089200640).

72438750960 is an abundant number, since it is smaller than the sum of its proper divisors (175739650320).

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

72438750960 is a wasteful number, since it uses less digits than its factorization.

72438750960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 72438750960 in words is "seventy-two billion, four hundred thirty-eight million, seven hundred fifty thousand, nine hundred sixty".