7947072 has 168 divisors, whose sum is σ = 27366976. Its totient is φ = 2239488.

The previous prime is 7947061. The next prime is 7947083. The reversal of 7947072 is 2707497.

7947072 is digitally balanced in base 5, 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 (7947061) and next prime (7947083).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an Ulam number.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108828 + ... + 108900.

Almost surely, 2^7947072 is an apocalyptic number.

7947072 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 7947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683488).

7947072 is an abundant number, since it is smaller than the sum of its proper divisors (19419904).

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

7947072 is an equidigital number, since it uses as much as digits as its factorization.

7947072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 7947072 is about 2819.0551608651. The cubic root of 7947072 is about 199.5579570433.

The spelling of 7947072 in words is "seven million, nine hundred forty-seven thousand, seventy-two".