2015272 has 48 divisors (see below), whose sum is σ = 4524660. Its totient is φ = 838656.

The previous prime is 2015269. The next prime is 2015287. The reversal of 2015272 is 2725102.

It can be written as a sum of positive squares in 2 ways, for example, as 1999396 + 15876 = 1414^2 + 126^2 .

It is a super-2 number, since 2×2015272² = 8122642467968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20728 + ... + 20824.

2^2015272 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 2015272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262330).

2015272 is an abundant number, since it is smaller than the sum of its proper divisors (2509388).

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

2015272 is a wasteful number, since it uses less digits than its factorization.

2015272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 2015272 is about 1419.6027613385. The cubic root of 2015272 is about 126.3119840715.

The spelling of 2015272 in words is "two million, fifteen thousand, two hundred seventy-two".