76032728 has 32 divisors (see below), whose sum is σ = 145035360. Its totient is φ = 37363200.

The previous prime is 76032727. The next prime is 76032757. The reversal of 76032728 is 82723067.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76032727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136226 + ... + 136782.

It is an arithmetic number, because the mean of its divisors is an integer number (4532355).

Almost surely, 2^76032728 is an apocalyptic number.

It is an amenable number.

76032728 is a deficient number, since it is larger than the sum of its proper divisors (69002632).

76032728 is a wasteful number, since it uses less digits than its factorization.

76032728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 76032728 is about 8719.6747645769. The cubic root of 76032728 is about 423.6431523463.

The spelling of 76032728 in words is "seventy-six million, thirty-two thousand, seven hundred twenty-eight".