72906148224 has 1280 divisors, whose sum is σ = 290283840000. Its totient is φ = 17996525568.

The previous prime is 72906148199. The next prime is 72906148283. The reversal of 72906148224 is 42284160927.

72906148224 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 614 + 8 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72906148224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 878387287 + ... + 878387369.

It is an arithmetic number, because the mean of its divisors is an integer number (226784250).

Almost surely, 2^72906148224 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 72906148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145141920000).

72906148224 is an abundant number, since it is smaller than the sum of its proper divisors (217377691776).

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

72906148224 is a wasteful number, since it uses less digits than its factorization.

72906148224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 72906148224 in words is "seventy-two billion, nine hundred six million, one hundred forty-eight thousand, two hundred twenty-four".