201825720 has 96 divisors (see below), whose sum is σ = 659290320. Its totient is φ = 53544960.

The previous prime is 201825709. The next prime is 201825727. The reversal of 201825720 is 27528102.

201825720 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201825727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74632 + ... + 77288.

Almost surely, 2^201825720 is an apocalyptic number.

201825720 is a gapful number since it is divisible by the number (20) 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 201825720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329645160).

201825720 is an abundant number, since it is smaller than the sum of its proper divisors (457464600).

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

201825720 is a wasteful number, since it uses less digits than its factorization.

201825720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 201825720 is about 14206.5379315300. The cubic root of 201825720 is about 586.5776394407.

The spelling of 201825720 in words is "two hundred one million, eight hundred twenty-five thousand, seven hundred twenty".