72960839424 has 486 divisors, whose sum is σ = 240776597880. Its totient is φ = 22047759360.

The previous prime is 72960839389. The next prime is 72960839431. The reversal of 72960839424 is 42493806927.

72960839424 is a `hidden beast` number, since 7 + 2 + 9 + 608 + 3 + 9 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (486).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 203233357 + ... + 203233715.

Almost surely, 2^72960839424 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 72960839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120388298940).

72960839424 is an abundant number, since it is smaller than the sum of its proper divisors (167815758456).

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

72960839424 is an frugal number, since it uses more digits than its factorization.

72960839424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 72960839424 in words is "seventy-two billion, nine hundred sixty million, eight hundred thirty-nine thousand, four hundred twenty-four".