2935272 has 64 divisors (see below), whose sum is σ = 7963200. Its totient is φ = 898560.

The previous prime is 2935267. The next prime is 2935279. The reversal of 2935272 is 2725392.

It is a happy number.

2935272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2935279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18618 + ... + 18774.

It is an arithmetic number, because the mean of its divisors is an integer number (124425).

2^2935272 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 2935272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981600).

2935272 is an abundant number, since it is smaller than the sum of its proper divisors (5027928).

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

2935272 is a wasteful number, since it uses less digits than its factorization.

2935272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 2935272 is about 1713.2635524052. The cubic root of 2935272 is about 143.1801403958.

It can be divided in two parts, 293 and 5272, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 2935272 in words is "two million, nine hundred thirty-five thousand, two hundred seventy-two".