76242432 has 120 divisors (see below), whose sum is σ = 236509416. Its totient is φ = 21762048.

The previous prime is 76242407. The next prime is 76242437. The reversal of 76242432 is 23424267.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76242432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76242437) 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, 74758 + ... + 75770.

Almost surely, 2^76242432 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 76242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118254708).

76242432 is an abundant number, since it is smaller than the sum of its proper divisors (160266984).

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

76242432 is a wasteful number, since it uses less digits than its factorization.

76242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1025 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 76242432 is about 8731.6912451140. The cubic root of 76242432 is about 424.0322747474.

Adding to 76242432 its reverse (23424267), we get a palindrome (99666699).

The spelling of 76242432 in words is "seventy-six million, two hundred forty-two thousand, four hundred thirty-two".