729601425 has 252 divisors, whose sum is σ = 1699571280. Its totient is φ = 308629440.

The previous prime is 729601421. The next prime is 729601429. The reversal of 729601425 is 524106927.

729601425 is a `hidden beast` number, since 7 + 2 + 9 + 601 + 42 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (729601421) and next prime (729601429).

It is not a de Polignac number, because 729601425 - 2² = 729601421 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 729601425.

It is not an unprimeable number, because it can be changed into a prime (729601421) 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 251 ways as a sum of consecutive naturals, for example, 16967454 + ... + 16967496.

Almost surely, 2^729601425 is an apocalyptic number.

729601425 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

729601425 is an abundant number, since it is smaller than the sum of its proper divisors (969969855).

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

729601425 is a wasteful number, since it uses less digits than its factorization.

729601425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 729601425 is about 27011.1352038377. The cubic root of 729601425 is about 900.2474319687.

The spelling of 729601425 in words is "seven hundred twenty-nine million, six hundred one thousand, four hundred twenty-five".