76728106 has 32 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 28567296.

The previous prime is 76728103. The next prime is 76728107. The reversal of 76728106 is 60182767.

76728106 = 274² + 275² + ... + 630².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (76728103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9306 + ... + 15493.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^76728106 is an apocalyptic number.

76728106 is a deficient number, since it is larger than the sum of its proper divisors (73262294).

76728106 is a wasteful number, since it uses less digits than its factorization.

76728106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24838.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 76728106 is about 8759.4580882609. The cubic root of 76728106 is about 424.9307495011.

The spelling of 76728106 in words is "seventy-six million, seven hundred twenty-eight thousand, one hundred six".