72653893425 has 18 divisors (see below), whose sum is σ = 130131196182. Its totient is φ = 38748743040.

The previous prime is 72653893399. The next prime is 72653893441. The reversal of 72653893425 is 52439835627.

72653893425 is a `hidden beast` number, since 7 + 265 + 38 + 9 + 342 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23199249969 + 49454643456 = 152313^2 + 222384^2 .

It is not a de Polignac number, because 72653893425 - 2⁷ = 72653893297 is a prime.

It is a super-2 number, since 2×72653893425² (a number of 23 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 161452872 + ... + 161453321.

It is an arithmetic number, because the mean of its divisors is an integer number (7229510899).

Almost surely, 2^72653893425 is an apocalyptic number.

72653893425 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72653893425 is a deficient number, since it is larger than the sum of its proper divisors (57477302757).

72653893425 is a wasteful number, since it uses less digits than its factorization.

72653893425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322906209 (or 322906201 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 72653893425 in words is "seventy-two billion, six hundred fifty-three million, eight hundred ninety-three thousand, four hundred twenty-five".