3996072 has 24 divisors (see below), whose sum is σ = 10822890. Its totient is φ = 1332000.

The previous prime is 3996067. The next prime is 3996073. The reversal of 3996072 is 2706993.

It can be written as a sum of positive squares in only one way, i.e., 2842596 + 1153476 = 1686^2 + 1074^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (3996073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27679 + ... + 27822.

Almost surely, 2^3996072 is an apocalyptic number.

It is an amenable number.

3996072 is an abundant number, since it is smaller than the sum of its proper divisors (6826818).

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

3996072 is a wasteful number, since it uses less digits than its factorization.

3996072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55513 (or 55506 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3996072 is about 1999.0177588006. The cubic root of 3996072 is about 158.6881272512.

The spelling of 3996072 in words is "three million, nine hundred ninety-six thousand, seventy-two".