7975872 has 84 divisors (see below), whose sum is σ = 23338536. Its totient is φ = 2603520.

The previous prime is 7975861. The next prime is 7975883. The reversal of 7975872 is 2785797.

It is an interprime number because it is at equal distance from previous prime (7975861) and next prime (7975883).

It is a super-2 number, since 2×7975872² = 127229068320768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35023 + ... + 35249.

Almost surely, 2^7975872 is an apocalyptic number.

7975872 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 7975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11669268).

7975872 is an abundant number, since it is smaller than the sum of its proper divisors (15362664).

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

7975872 is a wasteful number, since it uses less digits than its factorization.

7975872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 7975872 is about 2824.1586357710. The cubic root of 7975872 is about 199.7987308549.

The spelling of 7975872 in words is "seven million, nine hundred seventy-five thousand, eight hundred seventy-two".