3711072 has 96 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 1128960.

The previous prime is 3711053. The next prime is 3711077. The reversal of 3711072 is 2701173.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3711077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86283 + ... + 86325.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

Almost surely, 2^3711072 is an apocalyptic number.

3711072 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 3711072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

3711072 is an abundant number, since it is smaller than the sum of its proper divisors (6933408).

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

3711072 is a wasteful number, since it uses less digits than its factorization.

3711072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 3711072 is about 1926.4142856613. The cubic root of 3711072 is about 154.8221616276.

The spelling of 3711072 in words is "three million, seven hundred eleven thousand, seventy-two".