76032120 has 64 divisors (see below), whose sum is σ = 231984000. Its totient is φ = 19929728.

The previous prime is 76032107. The next prime is 76032161. The reversal of 76032120 is 2123067.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711 + ... + 12449.

It is an arithmetic number, because the mean of its divisors is an integer number (3624750).

Almost surely, 2^76032120 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 76032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115992000).

76032120 is an abundant number, since it is smaller than the sum of its proper divisors (155951880).

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

76032120 is a wasteful number, since it uses less digits than its factorization.

76032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812 (or 10808 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 76032120 is about 8719.6399008216. The cubic root of 76032120 is about 423.6420231145.

Adding to 76032120 its reverse (2123067), we get a palindrome (78155187).

The spelling of 76032120 in words is "seventy-six million, thirty-two thousand, one hundred twenty".