4725729900 has 216 divisors, whose sum is σ = 15443011584. Its totient is φ = 1207382400.

The previous prime is 4725729893. The next prime is 4725729917. The reversal of 4725729900 is 99275274.

4725729900 is a `hidden beast` number, since 4 + 72 + 572 + 9 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2984509 + ... + 2986091.

It is an arithmetic number, because the mean of its divisors is an integer number (71495424).

Almost surely, 2^4725729900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4725729900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721505792).

4725729900 is an abundant number, since it is smaller than the sum of its proper divisors (10717281684).

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

4725729900 is a wasteful number, since it uses less digits than its factorization.

4725729900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4725729900 is about 68743.9444605850. The cubic root of 4725729900 is about 1678.1198140763.

The spelling of 4725729900 in words is "four billion, seven hundred twenty-five million, seven hundred twenty-nine thousand, nine hundred".