76871232 has 84 divisors (see below), whose sum is σ = 221557596. Its totient is φ = 25482240.

The previous prime is 76871219. The next prime is 76871233. The reversal of 76871232 is 23217867.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 75064896 = 1344^2 + 8664^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76871233) by changing a digit.

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, 182382 + ... + 182802.

Almost surely, 2^76871232 is an apocalyptic number.

76871232 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 76871232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110778798).

76871232 is an abundant number, since it is smaller than the sum of its proper divisors (144686364).

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

76871232 is a wasteful number, since it uses less digits than its factorization.

76871232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 743 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 76871232 is about 8767.6240795326. The cubic root of 76871232 is about 425.1948025077.

76871232 divided by its sum of digits (36) gives a palindrome (2135312).

The spelling of 76871232 in words is "seventy-six million, eight hundred seventy-one thousand, two hundred thirty-two".