72295031250 has 350 divisors, whose sum is σ = 219364047573. Its totient is φ = 17795700000.

The previous prime is 72295031233. The next prime is 72295031251. The reversal of 72295031250 is 5213059227.

72295031250 is a `hidden beast` number, since 7 + 2 + 29 + 503 + 125 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 9157915809 + 63137115441 = 95697^2 + 251271^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190125.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72295031251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 174 ways as a sum of consecutive naturals, for example, 5561156244 + ... + 5561156256.

Almost surely, 2^72295031250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72295031250

72295031250 is an abundant number, since it is smaller than the sum of its proper divisors (147069016323).

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

72295031250 is an frugal number, since it uses more digits than its factorization.

72295031250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 72295031250 in words is "seventy-two billion, two hundred ninety-five million, thirty-one thousand, two hundred fifty".