72469104125 has 128 divisors (see below), whose sum is σ = 110105049600. Its totient is φ = 47013120000.

The previous prime is 72469104121. The next prime is 72469104139. The reversal of 72469104125 is 52140196427.

It is not a de Polignac number, because 72469104125 - 2² = 72469104121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72469104121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31061459 + ... + 31063791.

It is an arithmetic number, because the mean of its divisors is an integer number (860195700).

Almost surely, 2^72469104125 is an apocalyptic number.

It is an amenable number.

72469104125 is a deficient number, since it is larger than the sum of its proper divisors (37635945475).

72469104125 is a wasteful number, since it uses less digits than its factorization.

72469104125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 72469104125 in words is "seventy-two billion, four hundred sixty-nine million, one hundred four thousand, one hundred twenty-five".