72724300425 has 288 divisors, whose sum is σ = 166753327104. Its totient is φ = 29528064000.

The previous prime is 72724300417. The next prime is 72724300457. The reversal of 72724300425 is 52400342727.

It is a happy number.

It is not a de Polignac number, because 72724300425 - 2³ = 72724300417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72724300425.

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 287 ways as a sum of consecutive naturals, for example, 34029957 + ... + 34032093.

It is an arithmetic number, because the mean of its divisors is an integer number (579004608).

Almost surely, 2^72724300425 is an apocalyptic number.

72724300425 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72724300425 is an abundant number, since it is smaller than the sum of its proper divisors (94029026679).

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

72724300425 is a wasteful number, since it uses less digits than its factorization.

72724300425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 72724300425 in words is "seventy-two billion, seven hundred twenty-four million, three hundred thousand, four hundred twenty-five".