1725416000 has 224 divisors, whose sum is σ = 5329269504. Its totient is φ = 537600000.

The previous prime is 1725415963. The next prime is 1725416009. The reversal of 1725416000 is 6145271.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1725416009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614600 + ... + 617400.

Almost surely, 2^1725416000 is an apocalyptic number.

1725416000 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 1725416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664634752).

1725416000 is an abundant number, since it is smaller than the sum of its proper divisors (3603853504).

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

1725416000 is a wasteful number, since it uses less digits than its factorization.

1725416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1725416000 is about 41538.1270641804. The cubic root of 1725416000 is about 1199.4015534529.

The spelling of 1725416000 in words is "one billion, seven hundred twenty-five million, four hundred sixteen thousand".