1725427200 has 480 divisors, whose sum is σ = 6697785600. Its totient is φ = 391372800.

The previous prime is 1725427177. The next prime is 1725427237. The reversal of 1725427200 is 27245271.

1725427200 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13171135 + ... + 13171265.

It is an arithmetic number, because the mean of its divisors is an integer number (13953720).

Almost surely, 2^1725427200 is an apocalyptic number.

1725427200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1725427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348892800).

1725427200 is an abundant number, since it is smaller than the sum of its proper divisors (4972358400).

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

1725427200 is an equidigital number, since it uses as much as digits as its factorization.

1725427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 1725427200 is about 41538.2618798620. The cubic root of 1725427200 is about 1199.4041486277.

The spelling of 1725427200 in words is "one billion, seven hundred twenty-five million, four hundred twenty-seven thousand, two hundred".