7967152 has 30 divisors (see below), whose sum is σ = 16407308. Its totient is φ = 3747072.

The previous prime is 7967143. The next prime is 7967209. The reversal of 7967152 is 2517697.

It is a super-2 number, since 2×7967152² = 126951021982208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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 5 ways as a sum of consecutive naturals, for example, 3763 + ... + 5485.

Almost surely, 2^7967152 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 7967152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8203654).

7967152 is an abundant number, since it is smaller than the sum of its proper divisors (8440156).

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

7967152 is a wasteful number, since it uses less digits than its factorization.

7967152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1742 counting only the distinct ones).

The product of its digits is 26460, while the sum is 37.

The square root of 7967152 is about 2822.6143909503. The cubic root of 7967152 is about 199.7258911600.

The spelling of 7967152 in words is "seven million, nine hundred sixty-seven thousand, one hundred fifty-two".