76511232 has 144 divisors (see below), whose sum is σ = 252972720. Its totient is φ = 21823488.

The previous prime is 76511231. The next prime is 76511249. The reversal of 76511232 is 23211567.

It is a happy number.

76511232 is a `hidden beast` number, since 7 + 651 + 1 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 76511196 and 76511205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76511231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128728 + ... + 129320.

It is an arithmetic number, because the mean of its divisors is an integer number (1756755).

Almost surely, 2^76511232 is an apocalyptic number.

76511232 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 76511232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126486360).

76511232 is an abundant number, since it is smaller than the sum of its proper divisors (176461488).

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

76511232 is a wasteful number, since it uses less digits than its factorization.

76511232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 605 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 76511232 is about 8747.0699094039. The cubic root of 76511232 is about 424.5300124036.

Adding to 76511232 its reverse (23211567), we get a palindrome (99722799).

The spelling of 76511232 in words is "seventy-six million, five hundred eleven thousand, two hundred thirty-two".