7671132 has 96 divisors (see below), whose sum is σ = 23206400. Its totient is φ = 2146176.

The previous prime is 7671113. The next prime is 7671143. The reversal of 7671132 is 2311767.

It is a super-2 number, since 2×7671132² = 117692532322848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7671096 and 7671105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55119 + ... + 55257.

Almost surely, 2^7671132 is an apocalyptic number.

7671132 is the 1752-nd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7671132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603200).

7671132 is an abundant number, since it is smaller than the sum of its proper divisors (15535268).

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

7671132 is a wasteful number, since it uses less digits than its factorization.

7671132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 7671132 is about 2769.6808480401. The cubic root of 7671132 is about 197.2209979190.

Adding to 7671132 its reverse (2311767), we get a palindrome (9982899).

The spelling of 7671132 in words is "seven million, six hundred seventy-one thousand, one hundred thirty-two".