72949750825 has 36 divisors (see below), whose sum is σ = 105253609692. Its totient is φ = 50009702400.

The previous prime is 72949750799. The next prime is 72949750871. The reversal of 72949750825 is 52805794927.

It can be written as a sum of positive squares in 6 ways, for example, as 5937627136 + 67012123689 = 77056^2 + 258867^2 .

It is not a de Polignac number, because 72949750825 - 2¹⁵ = 72949718057 is a prime.

It is a super-2 number, since 2×72949750825² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72949750825.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 8934745 + ... + 8942905.

Almost surely, 2^72949750825 is an apocalyptic number.

It is an amenable number.

72949750825 is a deficient number, since it is larger than the sum of its proper divisors (32303858867).

72949750825 is a wasteful number, since it uses less digits than its factorization.

72949750825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15482 (or 15470 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 72949750825 in words is "seventy-two billion, nine hundred forty-nine million, seven hundred fifty thousand, eight hundred twenty-five".