201015720 has 96 divisors (see below), whose sum is σ = 662337000. Its totient is φ = 52862976.

The previous prime is 201015673. The next prime is 201015739. The reversal of 201015720 is 27510102.

It can be written as a sum of positive squares in 4 ways, for example, as 114190596 + 86825124 = 10686^2 + 9318^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201015693 and 201015702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22456 + ... + 30104.

Almost surely, 2^201015720 is an apocalyptic number.

201015720 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 201015720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331168500).

201015720 is an abundant number, since it is smaller than the sum of its proper divisors (461321280).

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

201015720 is a wasteful number, since it uses less digits than its factorization.

201015720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 201015720 is about 14178.0012695725. The cubic root of 201015720 is about 585.7918708589.

Adding to 201015720 its reverse (27510102), we get a palindrome (228525822).

The spelling of 201015720 in words is "two hundred one million, fifteen thousand, seven hundred twenty".