3135072 has 72 divisors (see below), whose sum is σ = 8819496. Its totient is φ = 974848.

The previous prime is 3135071. The next prime is 3135073. The reversal of 3135072 is 2705313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3135071) and next prime (3135073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27688 + ... + 27800.

It is an arithmetic number, because the mean of its divisors is an integer number (122493).

Almost surely, 2^3135072 is an apocalyptic number.

3135072 is a gapful number since it is divisible by the number (32) 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 3135072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409748).

3135072 is an abundant number, since it is smaller than the sum of its proper divisors (5684424).

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

3135072 is a wasteful number, since it uses less digits than its factorization.

3135072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 3135072 is about 1770.6134530156. The cubic root of 3135072 is about 146.3577888996.

The spelling of 3135072 in words is "three million, one hundred thirty-five thousand, seventy-two".