7662672 has 60 divisors (see below), whose sum is σ = 21665280. Its totient is φ = 2528064.

The previous prime is 7662667. The next prime is 7662701. The reversal of 7662672 is 2762667.

7662672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18079 + ... + 18497.

It is an arithmetic number, because the mean of its divisors is an integer number (361088).

Almost surely, 2^7662672 is an apocalyptic number.

7662672 is a gapful number since it is divisible by the number (72) 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 7662672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832640).

7662672 is an abundant number, since it is smaller than the sum of its proper divisors (14002608).

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

7662672 is a wasteful number, since it uses less digits than its factorization.

7662672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 551 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 7662672 is about 2768.1531749526. The cubic root of 7662672 is about 197.1484704496.

The spelling of 7662672 in words is "seven million, six hundred sixty-two thousand, six hundred seventy-two".