6672072 has 64 divisors (see below), whose sum is σ = 18432000. Its totient is φ = 1995840.

The previous prime is 6672067. The next prime is 6672077. The reversal of 6672072 is 2702766.

6672072 = T₁₅₃ + T₁₅₄ + ... + T₃₅₁.

6672072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6672067) and next prime (6672077).

It is not an unprimeable number, because it can be changed into a prime (6672077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33429 + ... + 33627.

It is an arithmetic number, because the mean of its divisors is an integer number (288000).

Almost surely, 2^6672072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6672072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216000).

6672072 is an abundant number, since it is smaller than the sum of its proper divisors (11759928).

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

6672072 is a wasteful number, since it uses less digits than its factorization.

6672072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 6672072 is about 2583.0354236828. The cubic root of 6672072 is about 188.2580581691.

The spelling of 6672072 in words is "six million, six hundred seventy-two thousand, seventy-two".