76133232 has 120 divisors (see below), whose sum is σ = 248841216. Its totient is φ = 21276288.

The previous prime is 76133227. The next prime is 76133249. The reversal of 76133232 is 23233167.

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 = 76133196 and 76133205.

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, 46573 + ... + 48179.

Almost surely, 2^76133232 is an apocalyptic number.

76133232 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 76133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124420608).

76133232 is an abundant number, since it is smaller than the sum of its proper divisors (172707984).

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

76133232 is a wasteful number, since it uses less digits than its factorization.

76133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1666 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 76133232 is about 8725.4359203423. The cubic root of 76133232 is about 423.8297346499.

Adding to 76133232 its reverse (23233167), we get a palindrome (99366399).

The spelling of 76133232 in words is "seventy-six million, one hundred thirty-three thousand, two hundred thirty-two".