76032075 has 72 divisors (see below), whose sum is σ = 154958832. Its totient is φ = 32686080.

The previous prime is 76032071. The next prime is 76032097. The reversal of 76032075 is 57023067.

It is not a de Polignac number, because 76032075 - 2² = 76032071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76032071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61867 + ... + 63083.

It is an arithmetic number, because the mean of its divisors is an integer number (2152206).

Almost surely, 2^76032075 is an apocalyptic number.

76032075 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76032075 is an abundant number, since it is smaller than the sum of its proper divisors (78926757).

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

76032075 is a wasteful number, since it uses less digits than its factorization.

76032075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 76032075 is about 8719.6373204394. The cubic root of 76032075 is about 423.6419395363.

The spelling of 76032075 in words is "seventy-six million, thirty-two thousand, seventy-five".