3867072 has 56 divisors (see below), whose sum is σ = 11167872. Its totient is φ = 1171200.

The previous prime is 3867047. The next prime is 3867077. The reversal of 3867072 is 2707683.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3867077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197 + ... + 3027.

Almost surely, 2^3867072 is an apocalyptic number.

3867072 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 3867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583936).

3867072 is an abundant number, since it is smaller than the sum of its proper divisors (7300800).

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

3867072 is a wasteful number, since it uses less digits than its factorization.

3867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 3867072 is about 1966.4872234520. The cubic root of 3867072 is about 156.9618417820.

The spelling of 3867072 in words is "three million, eight hundred sixty-seven thousand, seventy-two".