3915072 has 84 divisors (see below), whose sum is σ = 12838176. Its totient is φ = 1117440.

The previous prime is 3915061. The next prime is 3915073. The reversal of 3915072 is 2705193.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3915073) 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, 3547 + ... + 4517.

Almost surely, 2^3915072 is an apocalyptic number.

3915072 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 3915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419088).

3915072 is an abundant number, since it is smaller than the sum of its proper divisors (8923104).

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

3915072 is a wasteful number, since it uses less digits than its factorization.

3915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3915072 is about 1978.6540880103. The cubic root of 3915072 is about 157.6086023459.

The spelling of 3915072 in words is "three million, nine hundred fifteen thousand, seventy-two".