3987072 has 48 divisors (see below), whose sum is σ = 11476530. Its totient is φ = 1328640.

The previous prime is 3987037. The next prime is 3987077. The reversal of 3987072 is 2707893.

It can be written as a sum of positive squares in only one way, i.e., 3779136 + 207936 = 1944^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3987077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 579 + ... + 2882.

Almost surely, 2^3987072 is an apocalyptic number.

3987072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3987072 is an abundant number, since it is smaller than the sum of its proper divisors (7489458).

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

3987072 is a wasteful number, since it uses less digits than its factorization.

3987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3987072 is about 1996.7653843153. The cubic root of 3987072 is about 158.5689046174.

The spelling of 3987072 in words is "three million, nine hundred eighty-seven thousand, seventy-two".