76240032 has 192 divisors, whose sum is σ = 236307456. Its totient is φ = 21288960.

The previous prime is 76239991. The next prime is 76240039. The reversal of 76240032 is 23004267.

It is a super-2 number, since 2×76240032² = 11625084958722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 76239984 and 76240011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76240039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1044348 + ... + 1044420.

It is an arithmetic number, because the mean of its divisors is an integer number (1230768).

Almost surely, 2^76240032 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 76240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118153728).

76240032 is an abundant number, since it is smaller than the sum of its proper divisors (160067424).

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

76240032 is a wasteful number, since it uses less digits than its factorization.

76240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 76240032 is about 8731.5538136119. The cubic root of 76240032 is about 424.0278253959.

Adding to 76240032 its reverse (23004267), we get a palindrome (99244299).

The spelling of 76240032 in words is "seventy-six million, two hundred forty thousand, thirty-two".