2536272 has 100 divisors (see below), whose sum is σ = 7802080. Its totient is φ = 793152.

The previous prime is 2536267. The next prime is 2536273. The reversal of 2536272 is 2726352.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2536273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24573 + ... + 24675.

2^2536272 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 2536272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901040).

2536272 is an abundant number, since it is smaller than the sum of its proper divisors (5265808).

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

2536272 is a wasteful number, since it uses less digits than its factorization.

2536272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 2536272 is about 1592.5677379628. The cubic root of 2536272 is about 136.3741141040.

The spelling of 2536272 in words is "two million, five hundred thirty-six thousand, two hundred seventy-two".