6987072 has 56 divisors (see below), whose sum is σ = 18686272. Its totient is φ = 2304000.

The previous prime is 6987053. The next prime is 6987077. The reversal of 6987072 is 2707896.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 6987072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6987077) 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, 28872 + ... + 29112.

Almost surely, 2^6987072 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 6987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343136).

6987072 is an abundant number, since it is smaller than the sum of its proper divisors (11699200).

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

6987072 is a wasteful number, since it uses less digits than its factorization.

6987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 6987072 is about 2643.3070196252. The cubic root of 6987072 is about 191.1752820179.

The spelling of 6987072 in words is "six million, nine hundred eighty-seven thousand, seventy-two".