76132224 has 160 divisors (see below), whose sum is σ = 259182000. Its totient is φ = 21731328.

The previous prime is 76132213. The next prime is 76132229. The reversal of 76132224 is 42223167.

76132224 is a `hidden beast` number, since 7 + 613 + 22 + 24 = 666.

It is a super-2 number, since 2×76132224² = 11592231062372352, 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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76132229) 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 19 ways as a sum of consecutive naturals, for example, 72052 + ... + 73100.

Almost surely, 2^76132224 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 76132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129591000).

76132224 is an abundant number, since it is smaller than the sum of its proper divisors (183049776).

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

76132224 is a wasteful number, since it uses less digits than its factorization.

76132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1061 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 76132224 is about 8725.3781579941. The cubic root of 76132224 is about 423.8278641472.

The spelling of 76132224 in words is "seventy-six million, one hundred thirty-two thousand, two hundred twenty-four".